If we are given a convergent sequence [tex] a_{n} [/tex], then [tex] \frac{1}{a_{n}} [/tex] diverges. But what about the converse:(adsbygoogle = window.adsbygoogle || []).push({});

If [tex] \frac{1}{a_{n}} [/tex] diverges, then [tex] a_{n} [/tex] converges? [tex] a_{n} \rightarrow 0 [/tex], so its possible that [tex] a_{n} [/tex] could converge. But it could also diverge, right?

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