Question

Consider the function f (x) ={
(x^2 + 10x + 25)/(x + 5) if x != −5,
0 if x = −5.
Is f (x) continuous at the point x = −5? Is f (x) a continuous function on R?

Answer 1

I get
limx→−5=DNE
,

limx→−5−=−infinity

and

limx→−5+=+infinity

I know f(-5)=0 but in order for that function to be continuous it must be
limx→−5 f(x)=f(−5) right?
But in the results it says that the funtions is continuous at f(-5) and R?