Find the n-th degree Taylor polynomialofatc=1.Calculateand estimate the accuracy of the approximation≈.

Any suggestions?

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- Dec 4th 2009, 06:51 AMUnenlightenedTaylor polynomial...
**Find the n-th degree Taylor polynomial****of****at**c=1.**Calculate****and estimate the accuracy of the approximation****≈**.

Any suggestions? - Dec 4th 2009, 07:40 AMnehme007
The Taylor series expansion of f(x) about c = 1 is:

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This is also . For , and . So:

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To calculate , let x = 1.1 and add up the terms in the series up to n = 3. You should get something close to ln(1.1).