Chapter 14: Q. 22 (page 883)

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

Short Answer

Expert verified

The answer is 4.

Step by step solution

Step. 1 Given Information

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

${(3 x - 4)}^{2}$

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. So,

\lim_{x \to 2} {(3 x - 4)}^{2} = {(3 (2) - 4)}^{2} = {(6 - 4)}^{2} = 2^{2} = 4 .

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

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→23x-42

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.
$\lim_{x \to 2} {(3 x - 4)}^{2}$