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Expert-verified Found in: Page 883 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # In Problems 7– 42, find each limit algebraically.$\underset{x\to 2}{\mathrm{lim}}{\left(3x-4\right)}^{2}$

See the step by step solution

## Step. 1 Given Information

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

${\left(3x-4\right)}^{2}$

## 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,

$\underset{x\to 2}{\mathrm{lim}}{\left(3x-4\right)}^{2}={\left(3\left(2\right)-4\right)}^{2}\phantom{\rule{0ex}{0ex}}={\left(6-4\right)}^{2}\phantom{\rule{0ex}{0ex}}={2}^{2}=4.$ ### Want to see more solutions like these? 