For the series
\sum_{k=1}^\infty \frac{\left(-1\right)^{k+1}}{k},
compute the partial sums:

s_1 =

s_2 =

s_3 =

s_4 =

You will have to compute these as a fraction, you will not be able to write your answer as sum.

You will have to compute these as a fraction, you will not be able to write your answer as sum.

You can earn partial credit on this problem.