Without what I said, Evaluate :

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- Jan 13th 2010, 01:19 PMGeneralWithout L.R.,Long division,definition of derivative and eplison-delta proof, evaluate
Without what I said, Evaluate :

- Jan 13th 2010, 01:26 PMJhevon
- Jan 13th 2010, 01:27 PMGeneral
- Jan 13th 2010, 01:32 PMJhevon
- Jan 13th 2010, 01:33 PMGeneral
- Jan 13th 2010, 01:41 PMJhevon
- Jan 13th 2010, 01:42 PMGeneral
- Jan 13th 2010, 02:21 PMKrizalid
- Jan 13th 2010, 02:33 PMJhevon
- Jan 13th 2010, 03:11 PMCaptainBlack
- Jan 14th 2010, 08:21 AMJester
I think I can do it without what you said but using the ideas from calculus. Your limit represent the slope of the tangent of at . Let

.

The tangent line is or

The intersection of the tangent line and the quintic

or

There should be two intersection points, at and (some ) where the first will be a double root so eqn. (1.1) has the form

for some and .

Expanding and equating the coefficients of and gives

If we add/substract in the following order

gives

or , our desired limit. - Jan 14th 2010, 07:24 PMI4talent