Answer to Question #260066 in Calculus for steven

Question

Consider the function f and its graph given to the right.

Find ​a) lim

x→−3−

 g(x)​; ​b) lim

x→−3+

 g(x)​; ​c)lim

x→−3

 g(x).

If a limit does not​ exist, state that fact.

Answer 1

Answer:-

as graph is not given , so we will solve the question by directly putting the limits

Let us consider a function f(x)

$a) \ Lim_{x\rightarrow-3-g(x)}[f(x)]\\ = [f(-3-g(x)]$

$b) \ Lim_{x\rightarrow-3+g(x)}[f(x)]\\ = [f(-3+g(x)]$

$c) \ Lim_{x\rightarrow-3g(x)}[f(x)]\\ = [f(-3g(x)]$