Chapter 14.2, Problem 10AYU

In Problems 7-42, find each limit algebraically.

$\underset{x\to -3}{\lim }x$

To determine

To find: $\underset{x\to -3}{\text{lim}}x$

Answer to Problem 10AYU

Solution:

$3$

Explanation of Solution

Given:

$\underset{x\to -3}{\text{lim}}x$

Formula used:

$\underset{x\to c}{\text{lim}}x=c$

Calculation:

See the graph for any choice of as $x$ gets closes to $c$, the corresponding value of $f\left(x\right)$ is $x$, which is just as close to $c$. that is $\underset{x\to c}{\text{lim}}x=c$.

Here $c=-3$.

So,

$\underset{x\to -3}{\text{lim}}x=-3$