Use the given graph to determine the limit, if it exists.
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

A.) Does not exist; does not exist
B.)1;1
C.)-2;3
D.)3;-2

Limit as x approaches two from the left of f of x: Lim x→2- f(x)=3
Limit as x approaches two from the right of f of x: Lim x→2+ f(x)=-2

Answer: Option D.) 3; -2

As Lim x→2- f(x) = 3 is different to -2 = Lim x→2+ f(x), then
The Limit as x approached two of f of x: Lim x→2 f(x) does not exis

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ApusApus ApusApus · Answer 2 · 2019-08-14T11:08:03+02:00

Answer:

A.) Does not exist.

Step-by-step explanation:

We have been given a graph. We are asked to find the limit of our given function as x approaches 2.

Upon looking at our given graph, we can see that limit of our function as x approaches 2 from right side is [tex]-2[/tex]. [tex]\lim_{x \to 2^{+}} f(x)=-2[/tex].

We can also see that limit of our function as x approaches 2 from left side is [tex]3[/tex]. [tex]\lim_{x \to 2^{-}} f(x)=3[/tex].

Since limit of both sides is not equal, therefore, the limit of function [tex]f(x)[/tex] as x approaches 2 does not exist and option A is the correct choice.

Use the given graph to determine the limit, if it exists. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.. A.) Does not exist; does not exist B.)1;1 C.)-2;3 D.)3;-2

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Use the given graph to determine the limit, if it exists.
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

A.) Does not exist; does not exist
B.)1;1
C.)-2;3
D.)3;-2