WeBWorK Standalone Renderer

This question has two parts. You may open the second part after you submit correct answers to the first part.

Part 1.

Applying the ratio test to the series $\displaystyle\sum_{k=1}^\infty \frac{1}{k^{3}},$ you would compute

$\displaystyle \lim_{k \to \infty} \, \biggl \lvert \dfrac {a_{k + 1}} {a_k} \biggr \rvert = \lim_{k \to \infty}$ $=$ .

Hence

Part 2.

You can earn partial credit on this problem.