I have a sequence {xn} defined by(adsbygoogle = window.adsbygoogle || []).push({});

xn = 1/n[1 + 1/2 + 1/3 + ... + 1/n]

for all natural numbers n.

I want to show that this sequence converges to 0, i.e. given any positive real number 'r', I want to show that there exists a natural number k such that xk < r. (The sequence is monotonically decreasing.)

Help please.

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# Homework Help: Limit of this sequence.

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