Evaluate the trigonometric unit: limit as x  --> 0      1-cos^2(4x)/16x^2   How do I begin by solving this? what work is shown to find the answer?   Also, How do I solve the following: Limit as x -->0    Sin(4x)/16x I know the answer is 1/4 (lucky guess from simplifying 4/16) but how do you actually solve it?

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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Evaluate the trigonometric unit:

limit as x  --> 0      1-cos^2(4x)/16x^2

 

How do I begin by solving this? what work is shown to find the answer?

 

Also, How do I solve the following:

Limit as x -->0    Sin(4x)/16x

I know the answer is 1/4 (lucky guess from simplifying 4/16) but how do you actually solve it?

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