Yes, because $$\lim_{x \to 3} f(x) = f(3)$$

Question 1

Evaluate $$\lim_{x 	o -1^-} f(x)$$ using the graph.

Accepted Answer

$$-5$$

Question 2

Evaluate $$\lim_{x 	o -1^+} f(x)$$ using the graph.

Accepted Answer

$$5$$

Question 3

What is $$f(-1)$$ according to the graph?

Accepted Answer

$$5$$

Question 4

Does $$\lim_{x 	o -1} f(x)$$ exist?

Accepted Answer

No, the left and right limits are not equal

Question 5

Is $$f(x)$$ continuous at $$x = -1$$?

Accepted Answer

No, because the left and right limits are not equal

Question 6

Evaluate $$\lim_{x 	o 2^-} f(x)$$ using the graph.

Accepted Answer

$$-1$$

Question 7

Evaluate $$\lim_{x 	o 2^+} f(x)$$ using the graph.

Accepted Answer

$$2$$

Question 8

What is $$f(2)$$ according to the graph?

Accepted Answer

$$-1$$

Question 9

Does $$\lim_{x 	o 2} f(x)$$ exist?

Accepted Answer

No, the left and right limits are not equal

Question 10

Is $$f(x)$$ continuous at $$x = 2$$?

Accepted Answer

No, because the left and right limits are not equal

Question 11

Evaluate $$\lim_{x 	o 3^-} f(x)$$ using the graph.

Accepted Answer

$$2$$

Question 12

Evaluate $$\lim_{x 	o 3^+} f(x)$$ using the graph.

Accepted Answer

$$2$$

Question 13

What is $$f(3)$$ according to the graph?

Accepted Answer

$$2$$

Question 14

Does $$\lim_{x 	o 3} f(x)$$ exist?

Accepted Answer

Yes, it exists and equals $$2$$

Question 15

Is $$f(x)$$ continuous at $$x = 3$$?

Accepted Answer

Yes, because $$\lim_{x 	o 3} f(x) = f(3)$$

Limits and Continuity from a Graph – Step-by-Step Guidance

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