The Taylor series for f(x) = e² at a = -1 is Σcn(x + 1)". n=0 Find the first few coefficients. Co= C1 C2 = C3 || C4 || ||

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A: find f(x) and a :use the formula , limit definition of derivative :

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Q: (c) Hence compute x6(log x)5 dx.

A: From part a we have results

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A: To test the following series for convergence.

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A: We know that the formulaa^m=a^n => m=n

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