How many terms (at least) of the alternating series E from n=1 to infinity (-1)^(n+1) 1/(n^2) must we add to be sure that the partial sum S(N) approximates the sum S of the series with error less than 0.0001?
How many terms (at least) of the alternating series E from n=1 to infinity (-1)^(n+1) 1/(n^2) must we add to be sure that the partial sum S(N) approximates the sum S of the series with error less than 0.0001?
(a) 10
(b) 50
(c) 100
(d) 120
(e) 150
alternating series w/ decreasing terms to 0 ... error < |first omitted term|