hi, how can i prove the attached function is bigger than 0, if p(x) not equal to 0.

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- Nov 20th 2009, 02:02 PMyht0251help on prove a integral is bigger than 0
hi, how can i prove the attached function is bigger than 0, if p(x) not equal to 0.

- Nov 20th 2009, 02:09 PMDrexel28
- Nov 20th 2009, 02:16 PMyht0251
- Nov 20th 2009, 02:18 PMDrexel28
- Nov 20th 2009, 02:21 PMyht0251
- Nov 20th 2009, 02:22 PMScott H
Is continuous?

Since doesn't distinguish between the sign of , we may assume that is nonnegative everywhere. Now, let's suppose that is a value at which . By the assumed continuity of , we have, from the epsilon-delta definition of limit,

For all , there exists a such that implies .

This just states that .

What we need to do is find a way to show that there is some positive area under the curve . What happens when we let ? - Nov 20th 2009, 02:24 PMDrexel28
- Nov 20th 2009, 02:25 PMDrexel28
- Nov 20th 2009, 02:34 PMyht0251