Chapter 2, Problem 1RE

To determine

To find: The value of given limit.

Answer to Problem 1RE

The value of $\underset{x\to -2}{\lim }\left(x^3-2x^2+1\right)$ is $-15$ .

Explanation of Solution

Given information: The given expression is $\underset{x\to -2}{\lim }\left(x^3-2x^2+1\right)$ .

Calculation:

To find the limit, substitute $-2$ for $x$ .

  $\begin{array}{c}\underset{x\to -2}{\lim }\left(x^3-2x^2+1\right)=\left({\left(-2\right)}^3-2{\left(-2\right)}^2+1\right)\\ =-8-8+1\\ =-15\end{array}$

Therefore, the value of $\underset{x\to -2}{\lim }\left(x^3-2x^2+1\right)$ is $-15$ .