Question

Please Help Quick!! Need full work shown!

Answer 1

limit does not exists.

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\\eq -4`

`\lim_(x\to 2^-)f(x)\\eq \lim_(x\to 2^+)f(x)`

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