Investigate the three special functions by performing the following task. Write ana comparison of your answer on the limits of any of the special functions after each item. 3. Prove that lim 1-cos t= 0 by completing the following the indicated process.t1-cos tlim -cost= limrationalizing the numeratort=limsimplifying by multiplication= limPythagorean identitylim(Associative Property%3Dsin tlim = 1, cos 0 = 1simplifying.Comparison:

Given, limt→01-costt=0To find : Prove the given limit by the given indicated process.

Answered: Prove that lim 1-cos t t-0 = 0 by…

Math

Calculus

Prove that lim 1-cos t t-0 = 0 by completing the following the indicated process.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Investigate the three special functions by performing the following task. Write an
a comparison of your answer on the limits of any of the special functions after each item.

3. Prove that lim 1-cos t
= 0 by completing the following the indicated process.
t
1-cos t
lim -cost
= lim
rationalizing the numerator
t
=lim
simplifying by multiplication
= lim
Pythagorean identity
lim(
Associative Property
%3D
sin t
lim = 1, cos 0 = 1
simplifying.
Comparison:

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