   Chapter 2, Problem 21RE ### 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

# Use graphs to discover the asymptotes of the curve. Then prove what you have discovered. y = cos 2 x x 2

To determine

To sketch: The graph of a function f(x)=cos2xx2 and discover the asymptotes.

Explanation

Graph:

Use an online graphing calculator to draw the graph of f as shown below in Figure 1.

Observation:

From the above graph, it is observed that x=0 is the vertical asymptote to the function f(x)=cos2xx2.

Recall from the definition that x=a is vertical asymptote if limxbf(x)= or limxbf(x)=.

Consider the function, f(x)=cos2xx2

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