Please work through this

Question

Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If it does not, enter DNE.

Maple Generated Plot

(A) $ f(1) $

(B) $\displaystyle{\lim_{x \rightarrow 1}} \text{ }f(x)$

(C) $f({\color{red}6})$

(D) $\displaystyle{\lim_{x \rightarrow {\color{red}6}}} \text{ }f(x)$

Please work through the whole question from start to finish because I am having trouble

Donald W. · Accepted Answer

A. Yes, it exists. It looks like f(1) = 2.

B. No, it doesn't exist because the limit as x→1 from the negative direction (7) is different from the limit as x→1 from the positive direction (1).

C. No, it doesn't exist because there is just a hole there.

D. Yes, it exists because the limit as x→6 from the negative direction is the same as the limit as x→6 from the positive direction, name 2.

1 Expert Answer