Homework Statement
Find a value for n for which the nth partial sum is ensured to approximate the sum of the alternating harmonic infinite series to three decimal places.
Homework Equations
Sn = Ʃ(-1)^k+1*1/k = 1 - 1/2 + 1/3 - 1/4 + 1/5 - . . .
S1 = 1
S2 = 1 - 1/2
S3 = 1 - 1/2 + 1/3
S4...