- #1
rayred
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Homework Statement
a) Show that the series ∑ from n = 1 to infinity 1/n^p where p converges when p > 1 and
diverges for p=1.
b) Prove that the following series diverges: ∑ from n = 1 to infinity sqrt(n)/n+1
c) Use an appropriate test to show whether ∑ from n = 1 to infinity [(−1)^n * n^2/(n^2 +1)] converges or diverges.
d) For what values of x , if any, does the following series converge? Show
how you arrived at your answer.
∑ from n = 1 to infinity [(x^(2n + 1))/(2n + 1)!]
The Attempt at a Solution
Im lost completely