207k views
4 votes
Can someone answer this?

Can someone answer this?-example-1

1 Answer

4 votes

Answer:

Second option 3; -3


\lim_(x \to 2^-)f(x)=3


\lim_(x \to 2^+)f(x)=-3

Explanation:

We want to find:


\lim_(x \to 2^+)f(x) and
\lim_(x \to 2^-)f(x)

When x tends to 2 on the left then
x <2.

When x is less than 2
f(x) = 3. This implies that the limit of f(x) when x approaches 2 from the left is equal to 3. Observe the attached image.

This is:


\lim_(x \to 2^-)f(x)=3

Also When x tends to 2 on the rigtn then
x >2.

When x is greater than 2
f(x) = -3. This implies that the limit of f(x) when x approaches 2 from the rigth is equal to -3. This is:


\lim_(x \to 2^+)f(x)=-3 Observe the attached image.

Can someone answer this?-example-1
User Ahogen
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories