Prove that n=1 (1) n+1 (ln n)a n converges for all exponents a. Hint: Show that f (x) =

Chapter 10, Problem 42

(choose chapter or problem)

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

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