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Calculus
Determine how many terms are required to approximate the sum of the series ((-1)^(n+1))/n^2 from n = 1 to inf with an error of less than 0.001.
1 answer
recall that the remainder R_n obeys
|R_n| < a_(n-1), so
0.001 < (-1)^n/(n-1)^2
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