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Please Help Quick!! Need full work shown!

Please Help Quick!! Need full work shown!-example-1

1 Answer

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Answer:

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.

User Jay Lane
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