Proof: lim (sin x)/x | Limits | Differential Calculus | Khan Academy

Khan Academy June 25, 2008
Video Thumbnail
Khan Academy Logo

Khan Academy

View Channel

About

Khan Academy is a nonprofit providing a free, world-class education for anyone, anywhere. Our interactive practice problems, articles, and videos help students succeed in math, biology, chemistry, physics, history, economics, finance, grammar, and many other topics. Khan Academy provides teachers with data on how their students are doing so they can identify gaps in learning and provide tailored instruction. We also offer free personalized SAT and LSAT practice in partnership with the College Board and the Law School Admission Council. Our resources have been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy each month. Want to extend your learning beyond YouTube? Practice what you've just discovered for free: www.khanacademy.org

Video Description

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1 Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/limit-intuition-review?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

You May Also Like

Upgrade Your iPhone Experience

AI-recommended products based on this video

Loading...
iPhone Charger Cord [MFi Certified] 3Pack 0.9M Lighting Cable Power Delivery Charging Cord Compatible with iPhone 14 13 13 Pro Max 12 12 Pro Max 11 XS XR X 8 iPad,White

iPhone Charger Cord [MFi Certified] 3Pack 0.9M Lighting Cable Power Delivery Charging Cord Compatible with iPhone 14 13 13 Pro Max 12 12 Pro Max 11 XS XR X 8 iPad,White

(4,813)
7.99
PrimeFREE delivery Saturday, June 14 on orders shipped by Amazon over $35
Loading...
Kaistyle for Magsafe Car Mount【20 Strong Magnets】 Magnetic Phone Holder for Car Phone Holder Mount Dash Cell Phone Holders for Your Car Accessories for Women Men for iPhone 17 Pro Max 16 15 14 13 12 ClimatePartner certified
Best Seller

Kaistyle for Magsafe Car Mount【20 Strong Magnets】 Magnetic Phone Holder for Car Phone Holder Mount Dash Cell Phone Holders for Your Car Accessories for Women Men for iPhone 17 Pro Max 16 15 14 13 12 ClimatePartner certified

(16,688)
$9.99
FREE delivery Sun, Sep 21 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
Car Phone Holder for Magsafe [78+LBS Strongest Suction & 2400gf Magnetic] 360° Adjustable Car Phone Mount, Phone Holders for Your Car for iPhone 17 Pro Max 16 15 14 13 12 Air Plus (Carbon Fiber) Global Recycled Standard
Best Seller

Car Phone Holder for Magsafe [78+LBS Strongest Suction & 2400gf Magnetic] 360° Adjustable Car Phone Mount, Phone Holders for Your Car for iPhone 17 Pro Max 16 15 14 13 12 Air Plus (Carbon Fiber) Global Recycled Standard

(10,765)
$26.99$26.45
FREE delivery Fri, Oct 3 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
LISEN Retractable Car Charger, 69W USB C Car Accessories Adapter for iPhone 17 USB C Charger Fast Charging, Gifts for Women Men, Travel Essentials, for iPhone 17 Pro Max Air 16 15 14 13 12 Samsung S25
Best Seller

LISEN Retractable Car Charger, 69W USB C Car Accessories Adapter for iPhone 17 USB C Charger Fast Charging, Gifts for Women Men, Travel Essentials, for iPhone 17 Pro Max Air 16 15 14 13 12 Samsung S25

(10,850)
$16.99
FREE delivery Sun, Sep 21 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
Apple AirPods Pro 2 Wireless Earbuds, Active Noise Cancellation, Hearing Aid Feature, Bluetooth Headphones, Transparency, Personalized Spatial Audio, High-Fidelity Sound, H2 Chip, USB-C Charging

Apple AirPods Pro 2 Wireless Earbuds, Active Noise Cancellation, Hearing Aid Feature, Bluetooth Headphones, Transparency, Personalized Spatial Audio, High-Fidelity Sound, H2 Chip, USB-C Charging

(38,487)
$199.00$187.32
FREE delivery Fri, Oct 3
10K+ bought in past month
Loading...
ANKER 737 Power Bank, 24,000mAh 3-Port Laptop Portable Charger with 140W Fast Charging, Smart Display, for Outdoor Work, Compatible with iPhone 16/15/14 Series, Vision Pro, Samsung, MacBook, and More

ANKER 737 Power Bank, 24,000mAh 3-Port Laptop Portable Charger with 140W Fast Charging, Smart Display, for Outdoor Work, Compatible with iPhone 16/15/14 Series, Vision Pro, Samsung, MacBook, and More

(13,939)
109.99
FREE delivery Saturday, June 14
9K+ bought in past month
Loading...
Anker Power Bank(PowerCore 10K),Compact Travel-Ready 10,000mAh Battery Pack with PowerIQ Charging Technology,5V/3A High-Speed Charging for iPhone,iPad,and More (USB-C Input and Output(Black),1pack) ClimatePartner certified

Anker Power Bank(PowerCore 10K),Compact Travel-Ready 10,000mAh Battery Pack with PowerIQ Charging Technology,5V/3A High-Speed Charging for iPhone,iPad,and More (USB-C Input and Output(Black),1pack) ClimatePartner certified

(109,961)
$17.99$17.81
FREE delivery Fri, Aug 8 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
Belkin BoostCharge Lightning Cable - 6.6ft/2M - MFi Certified Apple iPhone Charger USB to Lightning Cable - iPhone Cable - iPhone Charger Cord - Apple Charger - USB Phone Charger - Black

Belkin BoostCharge Lightning Cable - 6.6ft/2M - MFi Certified Apple iPhone Charger USB to Lightning Cable - iPhone Cable - iPhone Charger Cord - Apple Charger - USB Phone Charger - Black

(3,522)
11.99
PrimeFREE delivery Saturday, June 14 on orders shipped by Amazon over $35
100+ bought in past month
Loading...
Anker USB C to USB C Cable, Type-C 60W Fast Charging Cable (6FT, 2Pack) for iPhone 16 Series, iPad mini 6 and More (Black) ClimatePartner certified
Best Seller

Anker USB C to USB C Cable, Type-C 60W Fast Charging Cable (6FT, 2Pack) for iPhone 16 Series, iPad mini 6 and More (Black) ClimatePartner certified

(44,096)
$8.49
FREE delivery Thu, Jul 3 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
ivoler 3-Pack Screen Protector Tempered Glass for Nintendo Switch 2 Model 2025, Transparent HD Clear Anti-Scratch Screen Protector Accessories for Nintendo Switch 2, [7.9 inch] ClimatePartner certified
Best Seller

ivoler 3-Pack Screen Protector Tempered Glass for Nintendo Switch 2 Model 2025, Transparent HD Clear Anti-Scratch Screen Protector Accessories for Nintendo Switch 2, [7.9 inch] ClimatePartner certified

(61,148)
$5.79
FREE delivery Thu, Jul 3 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
amFilm Tempered Glass Screen Protector Compatible with Nintendo Switch 2 7.9" 2025 Alignment Installation Frame Transparent HD Clear Case Accessories Anti-Scratch (3-Pack) (SWTCH2-7.9")

amFilm Tempered Glass Screen Protector Compatible with Nintendo Switch 2 7.9" 2025 Alignment Installation Frame Transparent HD Clear Case Accessories Anti-Scratch (3-Pack) (SWTCH2-7.9")

(15,051)
$7.19
FREE delivery Tue, Jun 24 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
ivoler [3 Pack] Screen Protector Tempered Glass for Nintendo Switch, iVoler Transparent HD Clear Anti-Scratch Screen Protector Compatible Nintendo Switch

ivoler [3 Pack] Screen Protector Tempered Glass for Nintendo Switch, iVoler Transparent HD Clear Anti-Scratch Screen Protector Compatible Nintendo Switch

(60,997)
$7.21
FREE delivery Mon, Jun 16 on $35 of items shipped by Amazon
2K+ bought in past month
Loading...
daydayup Switch Case and Tempered Glass Screen Protector Compatible with Nintendo Switch - Deluxe Hard Shell Travel Carrying Case, Pouch for Nintendo Switch Console & Accessories, Streak Red
Amazon's Choice

daydayup Switch Case and Tempered Glass Screen Protector Compatible with Nintendo Switch - Deluxe Hard Shell Travel Carrying Case, Pouch for Nintendo Switch Console & Accessories, Streak Red

(6,725)
$13.89
FREE delivery Mon, Jun 16 on $35 of items shipped by Amazon
1K+ bought in past month
Loading...
Professional Wireless Lavalier Lapel Microphone for iPhone, iPad, mini Video Recording Mic forInterview Video Podcast Vlog YouTube&Livestream, Noise Reduction, Plug &Play

Professional Wireless Lavalier Lapel Microphone for iPhone, iPad, mini Video Recording Mic forInterview Video Podcast Vlog YouTube&Livestream, Noise Reduction, Plug &Play

(802)
$9.99$6.99
FREE delivery Thu, Sep 4 on $35 of items shipped by Amazon
6K+ bought in past month
Loading...
Anker USB C to USB C Cable, Type-C 60W Fast Charging Cable (6FT, 2Pack) for iPhone 16 Series, iPad mini 6 and More (Black) ClimatePartner certified
Best Seller

Anker USB C to USB C Cable, Type-C 60W Fast Charging Cable (6FT, 2Pack) for iPhone 16 Series, iPad mini 6 and More (Black) ClimatePartner certified

(44,096)
$8.49
FREE delivery Thu, Jul 3 on $35 of items shipped by Amazon
10K+ bought in past month
Loading...
Stylus Pen for iPad 2018-2025, Fast Charging Magnetic Pencil (1st Generation) with Tilt Sensitivity & Palm Rejection for iPad Air 3/4/5/M2/M3, iPad mini 5/6, iPad 6/7/8/9/10/11, iPad Pro 11"/12.9"/M4

Stylus Pen for iPad 2018-2025, Fast Charging Magnetic Pencil (1st Generation) with Tilt Sensitivity & Palm Rejection for iPad Air 3/4/5/M2/M3, iPad mini 5/6, iPad 6/7/8/9/10/11, iPad Pro 11"/12.9"/M4

(6,242)
19.99
PrimeFREE delivery Saturday, June 14 on orders shipped by Amazon over $35
8K+ bought in past month
Loading...
UGREEN USB C to USB Hub with 4 USB 3.0, Powered USB C Splitter for Laptop, MacBook Pro, Mac mini M4, iMac, iPad Pro, Chromebook, Dell XPS, Galaxy S23, and More, 0.5FT

UGREEN USB C to USB Hub with 4 USB 3.0, Powered USB C Splitter for Laptop, MacBook Pro, Mac mini M4, iMac, iPad Pro, Chromebook, Dell XPS, Galaxy S23, and More, 0.5FT

(12,070)
9.99
PrimeFREE delivery Saturday, June 14 on orders shipped by Amazon over $35
400+ bought in past month
Loading...
Bose QuietComfort Bluetooth Headphones, Wireless Headphones with Active Over Ear Noise Cancelling and Mic, Deep Bass, Up to 24 Hours of Playtime, White Smoke

Bose QuietComfort Bluetooth Headphones, Wireless Headphones with Active Over Ear Noise Cancelling and Mic, Deep Bass, Up to 24 Hours of Playtime, White Smoke

(10,961)
249.00
FREE delivery Wednesday, June 11.
1K+ bought in past month
Loading...
Apple Watch Series 10 [GPS 46mm case] Smartwatch with Rose Gold Aluminium Case with Light Blush Sport Band - M/L. Fitness Tracker, ECG App, Always-On Retina Display, Water Resistant
Best Seller

Apple Watch Series 10 [GPS 46mm case] Smartwatch with Rose Gold Aluminium Case with Light Blush Sport Band - M/L. Fitness Tracker, ECG App, Always-On Retina Display, Water Resistant

(7,994)
$329.00$296.10
FREE delivery Thu, Jul 3
1K+ bought in past month
Loading...
Apple Watch Series 10 [GPS 42mm case] Smartwatch with Jet Black Aluminium Case with Black Sport Band - S/M. Fitness Tracker, ECG App, Always-On Retina Display, Water Resistant
Best Seller

Apple Watch Series 10 [GPS 42mm case] Smartwatch with Jet Black Aluminium Case with Black Sport Band - S/M. Fitness Tracker, ECG App, Always-On Retina Display, Water Resistant

(7,993)
$299.00$269.10
FREE delivery Thu, Jul 3
8K+ bought in past month
Loading...
Temdan for Travel Essentials,3 in 2 USB C Cable for Apple Watch Charger/iPhone 16 Charger/Lightning,Multi Charging Cable Cord,Camping Essentials,Portable Designed for iWatch Series &iPhone 16-12-4FT Global Recycled Standard

Temdan for Travel Essentials,3 in 2 USB C Cable for Apple Watch Charger/iPhone 16 Charger/Lightning,Multi Charging Cable Cord,Camping Essentials,Portable Designed for iWatch Series &iPhone 16-12-4FT Global Recycled Standard

(2,378)
$8.49
FREE delivery Sat, Aug 9 on $35 of items shipped by Amazon
10K+ bought in past month