Ratio Test - Maple Programming Help

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Ratio Test

 Description By means of the Ratio Test, determine whether an infinite series converges or not.

Ratio Test for $\sum _{k}^{∞}{a}_{k}$, where $\left\{{a}_{k}\right\}$ is a sequence of positive constants:

General Term

 > $\frac{{1}}{{{3}}^{{k}}}$
 $\frac{{1}}{{{3}}^{{k}}}$ (1)

Test Number $\mathrm{ρ}$

 > $\underset{{k}{\to }{\infty }}{lim}\frac{\mathrm{eval}\left(,{k}{=}{k}{+}{1}\right)}{}$
 $\frac{{1}}{{3}}$ (2)

 > 
 Commands Used