Question: (a) Explain why the series \(\sum\limits_{n=0}^{\infty }{{{\left( -1 \right)}^{n}}}\frac{{{n}^{2}}}{1+{{n}^{3}}}\)

(b) How many terms of that series of that series should you sum to be sure you have an estimate for the total sum with an error of no more than 1/100?