You have already calculated partial sums of the alternating harmonic series up to `s_8`. Extend your numerical calculation out to `s_20`.
Recall that this series resulted from substituting `x = 1` into the Taylor series for `text(ln) text[(] 1 + x text[)]`. Are you ready to believe that `S` is `text(ln) 2?` Why or why not?
Use part h of Activity 3 part (h) of Activity 3 to estimate how close `s_20` must be to `S`. Is it that close to `text(ln) 2`?