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The function is and the interval is .
Rolles Theorem :
Let be a function that satisfies the following three hypotheses.
1. is continuous on .
2. is differentiable on .
3. .
Then there is a number in such that .
The function is .
Substitute in .
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Substitute in .
.
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The function is and the interval is .
A function is continuous when, for every value in its domain, is defined, and .
Consider the number as .
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Since the function is undefined at , it is discontinuous on the interval .
Since the function is discontinuous on the interval , it does not satisfies the Rolles Theorem.
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The function is discontinuous on the interval , it does not satisfies the Rolles Theorem.
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