Question

In Problems 33– 44, find the one-sided limit.

$\underset{x\to 1^{-}}{\lim }(2x^3+5x)$

Short answer

The limit value is

$\underset{x\to 1^{-}}{\lim }(2x^3+5x)=7$

Step-by-step solution

step 1.introduction

Given limit

$\underset{x\to 1^{-}}{\lim }(2x^3+5x)$

step 2.explantion

Consider the limits

$$\begin{gathered} \underset{x\to 1^{-}}{\lim }(2x^3+5x)=(2{\left(1\right)}^3+5(1\left)\right) \\ =(2+5) \\ =7 \end{gathered}$$

step 3.the solution

$\underset{x\to 1^{-}}{\lim }(2x^3+5x)=7$