Question

Explain why the function is discontinuous at the given number and sketch the graph of the function.

f(x)= (1)/(x+2) if x does not equal -2
1 if x does equal -2

a= -2

Answer 1

it is not going to be continuous for sure, because
\[\lim_{x\to -2}\frac{1}{x+2}\] does not exist

Answer 2

How did you figure that out?