QUESTION $5$

Using the "Alternating Series Estimating Theorem", the minimum value of $n$ for which $n$th partial sums $S_n$ approximates the sum of ${\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{\sqrt[3]{n+4}}$ with $|||$ error $|||<mn>0</mn><mn>.</mn><mn>1</mn>$ is

A$.998$

B$.994$

C$.999$

D$.1000$

E$.996$