Question

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

$\underset{x\to {\mathrm{\pi }}^{-}}{\lim \left(3\cos \left(x\right)\right)}$

Short answer

The limit value

$\underset{x\to {\mathrm{\pi }}^{-}}{\lim \left(3\cos \left(x\right)\right)}=-3$

Step-by-step solution

step 1.introduction

Given limit

$\underset{x\to {\mathrm{\pi }}^{-}}{\lim \left(3\cos \left(x\right)\right)}$

step 2.explanation

consider the value

$$\begin{gathered} \underset{x\to {\mathrm{\pi }}^{-}}{\lim \left(3\cos \left(x\right)\right)}=\left(3\cos \left(\mathrm{\pi }\right)\right) \\ =\left(3\right(-1\left)\right) \\ =-3 \end{gathered}$$

step 3.the solution

the limit value

$\underset{x\to {\mathrm{\pi }}^{-}}{\lim \left(3\cos \left(x\right)\right)}=-3$