Special Trigonometric  Limits

    This topic states the limits of the trigonometric functions and also two very useful limits involving sine and cosine. These special limits can either be proved with L'Hopitals rule or with the squeeze rule. Examples are given which illustrate there usefulness.

Proposition (Special Trigonometric Limits) The following trigonometric limits hold:

Example (Special Trigonometric Limits) Find the limit:

    Solution. We have
    


Example (Special Trigonometric Limits) Find the limit:

    Solution. We have

Example (Special Trigonometric Limits) Find the limit:

    Solution. We have

Example (Special Trigonometric Limits) Find the limit:

    Solution. We have







(using and since as we infer that so we continue)

• print this page
• pages linking here
• related pages

Calculus for Dummies List Price: $19.99 Buy Used: $8.00 You Save: $11.99 (60%) New (58) Used (56) from $8.00 The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion (more)

Calculus (With Analytic Geometry)(8th edition) List Price: $198.95 Buy New: $74.00 You Save: $124.95 (63%) New (46) Used (75) from $68.80 Designed for the three-semester calculus course for math and science majors, Calculus continues to offer instructors and students new and innovative teaching and learning resources. This was the first (more)

Calculus: Early Transcendentals (Stewart's Calculus Series) List Price: $197.95 Buy New: $111.65 You Save: $86.30 (44%) New (32) Used (40) from $111.65 Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: (more)

The Humongous Book of Calculus Problems: For People Who Don't Speak Math List Price: $18.95 Buy New: $11.01 You Save: $7.94 (42%) New (31) Used (17) from $10.00 Now students have nothing to fear ? Math textbooks can be as baffling as the subject they?re teaching. Not anymore. The best-selling author of The Complete Idiot?s Guide to Calculus has taken what appears (more)

TI-89 Graphing Calculator For Dummies (For Dummies (Math & Science)) List Price: $21.99 Buy New: $11.79 You Save: $10.20 (46%) New (32) Used (14) from $11.49 Do you own a TI-89, TI-89 Titanium, TI-92 Plus, or a Voyage 200 graphing calculator? If you do, or if you need to get one for school or your job, then you need to know how it works and how to make the (more)