Question

PLEASE ANSWER ASAP!!

It's two sections and my answers are included but please correct them if I'm wrong

Answer 1

Some answers are correct, but not all. These are ones that need fixing.

2a.

`\lim_(x\rightarrow-2^-)f(x) = 0` because as you come towards x = –2 from the left, your y-values are getting closer to 0.

2b.

`\lim_(x\rightarrow-2^+)f(x) = 1` because as you come towards x = –2 from the right, your y-values are getting closer to 1.

2e.

`\lim_(x\rightarrow5)f(x) = -1` because as you come towards x = 5 from both sides, your y-values are getting closer to -1.

3a.

`\lim_(x\rightarrow3^-)f(x) = -1` because as you come towards x = 3 from the left, your y-values are -1.

`\lim_(x\rightarrow3^+)f(x) = 1` because as you come towards x = 3 from the right, your y-values are 1.

`\lim_(x\rightarrow3)f(x)` does not exist, since those two one-sided limits aren't don't agree.

3b.

`\lim_(x\rightarrow0^-)f(x) = -\infty` because as you come towards x = 0 from the left, your y-values are getting huge in a negative way.

`\lim_(x\rightarrow0^+)f(x) = \infty` because as you come towards x = 0 from the right, your y-values are getting huge in a positive way.