   Chapter 2.4, Problem 90E

Chapter
Section
Textbook Problem

In Exercises 89-94, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.90. If lim x → 3 g ( x ) = 0 and if lim x → 3 f ( x ) / g ( x ) = 0 exists, then lim x → 3 f ( x ) = 0

To determine
Whether the statement “The limit of the function f(x) is 0 as x tends to 3 is true or false.

Explanation

The limit of the function in the form of f(x)g(x) exists only if either for any value of x, g(x) is not equals to 0 or numerator is 0.

The given statement is,

The limit of function g(x) is 0 as x tends to 3 and the limit of the function

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