   Chapter 2.2, Problem 46E

Chapter
Section
Textbook Problem

(a) By graphing the function f(x) = (tan 4x)/x 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 pan (a) by evaluating f(x) for values of x that approach 0.

(a)

To determine

To graph: The function f(x)=tan4xx and evaluate the value of limx0tan4xx.

Explanation

Use the graphing calculator and draw the graph of the function f(x)=tan4xx as shown below in Figure 1.

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

(b)

To determine

To check: The answer obtained in part (a) by evaluating the value of f(x)=tan4xx as x approaches 0.

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