Question

Please Help Quick!! Need full work shown!

Answer 1

Answer:

limit does not exists.

Step-by-step explanation:

From the given graph it is clear that the function approaches to 4 when x is approaches to 2 from left. So,

$\lim_{x\to 2^-}f(x)=4$

The function approaches to -4 when x is approaches to 2 from right. So,

$\lim_{x\to 2^+}f(x)=-4$

Now,  

$4\neq -4$

$\lim_{x\to 2^-}f(x)\neq \lim_{x\to 2^+}f(x)$

Since, left hand limit is not equal to right hand limit, therefore, limit does not exists.