Let S = n=2 an, where an = (ln(ln n)) ln n. (a) Show, by taking logarithms, that an = n

Chapter 10, Problem 92

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Let S = n=2 an, where an = (ln(ln n)) ln n. (a) Show, by taking logarithms, that an = n ln(ln(ln n)). (b) Show that ln(ln(ln n)) 2 if n>C, where C = eee2 . (c) Show that S converges.

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