Question: Prove that converges for all exponents a. Show that (x) = (ln x) a /x is decreasing for x sufficiently large. 00 (1)n+1 (Inn)a n

Prove that

00 (1)n+1 (Inn)a n n=1

converges for all exponents a. Show that ƒ(x) = (ln x)a/x is decreasing for x sufficiently large.

00 (1)n+1 (Inn)a n n=1

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