Give an example (if possible) of a sequence $$ \left\{a_{k}\right\} $$ that converges, while the series $$ \sum^{\infty} a_{k} $$ diverges.

Question

Barnett Little · Accepted Answer

Consider the sequence $$ \left\{a_{k}\right\} $$ defined by $$ a_{k} = \frac{1}{k} $$. It converges to 0, but the series $$ \sum^{\infty} a_{k} $$ diverges.

Give an example (if possible) of a sequence \( \left\{a_{k}\right\} \) that converges, while the series \( \sum^{\infty} a_{k} \) diverges.

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Give an example (if possible) of a sequence \( \left\{a_{k}\right\} \) that converges, while the series \( \sum^{\infty} a_{k} \) diverges.

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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