StudySmarter AI is coming soon!

:00Days
:00Hours
:00Mins
00Seconds

A new era for learning is coming soonSign up for free

Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q. 13

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 883

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

In Problems 7– 42, find each limit algebraically
$\lim_{x \to 2} (5 x^{4})$

The value of the limit $\lim_{x \to 2} (5 x^{4}) = 80 .$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

The given limit and function is $\lim_{x \to 2} (5 x^{4})$

We need to find the value of the limit.

Step 2. Value of the limit

We know,

$\lim_{x \to c} (a x^{n}) = a c^{n}$

Therefore,

$\lim_{x \to 2} (5 x^{4}) = 5 \cdot 2^{4} = 5 \times 16 = 80$

Most popular questions for Math Textbooks

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x \to π} f (x), f (x) = \cos (x)$

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} 1 & i f x < 0 \\ - 1 & i f x > 0 \end{cases}$

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} \sin (x) & i f x \leq 0 \\ x^{2} & i f x > 0 \end{cases}$

In Problems 7– 42, find each limit algebraically

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

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x \to - 1} \frac{x^{3} + x^{2} + 3 x + 3}{x^{4} + x^{3} + 2 x + 2}$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free