Chapter 14: Q. 26 (page 883)

In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} \frac{3 x + 4}{x^{2} + x} .$

Short Answer

Expert verified

The answer is $\frac{5}{3} .$

Step by step solution

Step. 1 Given Information

Given is the limit on which x tends to 2 and the function given is:

$\frac{3 x + 4}{x^{2} + x}$

Step. 2 Solving the limit

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

Since if we put $x = 2$ then it doesn't create any indeterminant form. So, to solve the limit we can directly put the value of x in the function.

\lim_{x \to 2} \frac{3 x + 4}{x^{2} + x} = \frac{3 (2) + 4}{2^{2} + 2} = \frac{6 + 4}{4 + 2} = \frac{10}{6} = \frac{5}{3} .

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In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} \frac{3 x + 4}{x^{2} + x} .$

Short Answer

Step by step solution

Step. 1 Given Information

Step. 2 Solving the limit

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Short Answer

Step by step solution

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Step. 2 Solving the limit

One App. One Place for Learning.

Most popular questions from this chapter

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In Problems 7– 42, find each limit algebraically.
$\lim_{x \to 2} \frac{3 x + 4}{x^{2} + x} .$