$\displaystyle\sum\limits_{n=1}^{\infty }~{\frac{{{\left( -1 \right)}^{n+1}}}{n}}$ is approximated using the partial sum $\displaystyle\sum\limits_{n=1}^{99}~{\frac{{{\left( -1 \right)}^{n+1}}}{n}}$.
**Complete the sentence about the error of the approximation.**
The error bound is
[[☃ dropdown 1]] and hence the approximation is an [[☃ dropdown 2]].
**What is the absolute value of the error bound?**
[[☃ input-number 1]]