   Chapter 2.2, Problem 29E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) By graphing the function f(x) = (cos 2x – cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of limx→0 f(x)(b) Check your answer in part (a) by evaluating f(x) for values of x that approach 0.

(a)

To determine

The value of limx0cos2xcosxx2 by graphing and find where it crosses the y-axis.

Explanation

Using the online graphing calculator and draw the graph of the function f(x)=cos2xcosxx2 as shown below in Figure 1.

Zoom in the graph towards the point where the graph crosses the y-axis as shown below in Figure 2.

From Figure 2, it is observed that graph of f(x)=cos2xcosxx2 approaches −1.5 as x approaches 0 from either side

(b)

To determine

The answer obtained in part (a) by evaluating the value of cos2xcosxx2 as x approaches 0.

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