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PLEASE ANSWER ASAP!!

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

PLEASE ANSWER ASAP!! It's two sections and my answers are included but please correct-example-1
PLEASE ANSWER ASAP!! It's two sections and my answers are included but please correct-example-1
PLEASE ANSWER ASAP!! It's two sections and my answers are included but please correct-example-2
PLEASE ANSWER ASAP!! It's two sections and my answers are included but please correct-example-3
User RRuiz
by
4.5k points

1 Answer

5 votes

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.

User Amavroudakis
by
4.8k points