Chapter 14: Q. 25 (page 883)

In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 0} \frac{x^{2} - 4}{x^{2} + 4}$ .

Short Answer

Expert verified

The answer is -1.

Step by step solution

Step. 1 Given Information

Given is the limit on which x tends to 0 and the function given is:

$\frac{x^{2} - 4}{x^{2} + 4}$

Step. 2 Solving the limit

Firstly, we check whether the given function is in indeterminant form or not.

Since if we put $x = 0$ then it doesn't create any indeterminant form. So, to solve the limit we can directly put the value of x in the function. So,

\lim_{x \to 0} \frac{x^{2} - 4}{x^{2} + 4} = \frac{0 - 4}{0 + 4} = \frac{- 4}{4} = - 1 .

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In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 0} \frac{x^{2} - 4}{x^{2} + 4}$ .

Short Answer

Step by step solution

Step. 1 Given Information

Step. 2 Solving the limit

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In Problems 7– 42, find each limit algebraically.limx→0x2-4x2+4.

Short Answer

Step by step solution

Step. 1 Given Information

Step. 2 Solving the limit

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

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Study anywhere. Anytime. Across all devices.

In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 0} \frac{x^{2} - 4}{x^{2} + 4}$ .