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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 $\underset{x\to 2}{\mathrm{lim}}\left(5{x}^{4}\right)$

The value of the limit $\underset{x\to 2}{\mathrm{lim}}\left(5{x}^{4}\right)=80.$

See the step by step solution

## Step 1. Given Information

The given limit and function is$\underset{x\to 2}{\mathrm{lim}}\left(5{x}^{4}\right)$

We need to find the value of the limit.

## Step 2. Value of the limit

We know,

$\underset{x\to c}{\mathrm{lim}}\left(a{x}^{n}\right)=a{c}^{n}$

Therefore,

$\underset{x\to 2}{\mathrm{lim}}\left(5{x}^{4}\right)=5·{2}^{4}\phantom{\rule{0ex}{0ex}}=5×16\phantom{\rule{0ex}{0ex}}=80$ ### Want to see more solutions like these? 