Question

Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

Answer 1

Answer:

Hence the answer is given as follows,

Step-by-step explanation:

Graph of y = f(x) given,

(a) $\lim_{x\rightarrow 2^{-}}f(x)=3$

(b) $\lim_{x\rightarrow 2^{+}}f(x)=1$

(c) $\lim_{x\rightarrow 2}f(x)= DNE \left \{ \therefore \lim_{x\rightarrow 2^{-}} f(x)\neq \lim_{x\rightarrow 2^{+}}f(x) \right.$

(d) $f(2)=3$

(e) $\lim_{x\rightarrow 4}f(x) = 4$

(f) $f(4)= DNE.${ Hole in graph}

Hence solved.