n 2 n n3 X n1 2n2 n n 3 X n 1 1n 6 2 n 62 n n 3 Xn 1 1 nn 3which converges by

N 2 n n3 x n1 2n2 n n 3 x n 1 1n 6 2 n 62 n n 3 xn 1

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Problem 7.Say if the following series converge absolutely, conditionally, or not at all.(a) [5pts.]Xn=1(-1)nn+n (b) [5pts.]
Problem 8.10pts.Find the interval of convergence of the power seriesXn=1(-1)n(2x+ 1)2nn·3n.
Problem 9.Letf(x) =-x, defined on [0,+).(a) [5pts.] Find the 2nd Taylor polynomialT2(x) with centrea= 4.

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