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Use the given graph to determine the limit, if it exists. 
Find lim x --> 2^- f f(x) and lim x--2+ f(x) 
A.) 4,-2
B.) 1;1
C.) Does not exist; does not exist
D.) -2;4

Use the given graph to determine the limit if it exists Find lim x gt 2 f fx and lim x2 fx A 42B 11C Does not exist does not existD 24 class=

Respuesta :

check the picture below.

if you notice your graph, and we plug a few x-values coming from the left, and then from the right, it'd be like in the picture.

now, notice that, the function y-value is a constant all the while as "x" is approaching 2 from the left, it looks like it's approaching 4, now, it will never get there, but is approaching it, for a limit, that's all that matters, even if the value is never reached.

and from the right, it looks like is approaching 2, it will never get there, but that is irrelevant for a limit.
Ver imagen jdoe0001

From the graph, for [tex]\lim_{x \to 2-} f(x)[/tex] and [tex]\lim_{x \to 2+} f(x)[/tex] does not exist.

What is the limit?

" Limit is defined as when the function approaches to the output value for the given value of input variable."

According to the question,

From the given graph,

Find limit [tex]x \to2-[/tex] and limit [tex]x \to2+[/tex]

[tex]\lim_{x \to2-} f(x) = 4\\ \\ \lim_{x \to2+} f(x) = -2[/tex]                                   ________[tex](1)[/tex]

From [tex](1)[/tex] limits are not equal,

[tex]\lim_{x \to2-} f(x) \neq \lim_{x \to2+} f(x)[/tex]

Therefore, the limit does not exist.

Hence, Option (C) is the correct answer.

Learn more about limits here

https://brainly.com/question/12207563

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