17. Let (Hn) be a sequence defined by Hn k' k=1 1 < In(n + 1) – In n < . 1 (a) Show that for n > 0, n +1 (b) Deduce that In(n + 1) < Hn < Inn+1 (c) Determine the limit of H,.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.