Approximate the value of the series to within an error of at most 10^−5.

The infinite series from n=1 to infinity (−1)^(n+1)/(n^6) according to the equation (2):
|S_n - S| is less than or equal to a_(n+1)
what is the smallest value of N that approximates S to within an error of at most 10^−5?
N = ?
S ≈ ?

1 answer

I get S-S6 = 5.93*10^-6 < 1.0*10^-5