Q. 54 - Calculus

Question

Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits. 

$\underset{x\to -1}{\lim }\left(x^3-2\right)$

Step-by-Step Solution

Answer

The value of $\underset{x\to -1}{\lim }\left(x^3-2\right)=-3$ and graph is

Step 1. Given information.

The given function is $\underset{x\to -1}{\lim }\left(x^3-2\right)$.

Step 2. Graph of the function.

The graph of the function is,

$$\begin{gathered} As x\to -1, f\left(x\right)=-3 \\ Therefore, \\ \underset{x\to -1}{\lim }\left(x^3-2\right)=-3 \end{gathered}$$