Let f be a positive, continuous, and decreasing function for x ≥ 1, such that a = f(n). Note that if the series, n n = 1 converges to S, then the remainder RN = S - SN is bounded by O≤RNS $. fo F IN Use these results to find the smallest N such that R≤ 0.001 for the convergent series. Ν ΣΤΟ a 00 n = 1 f(x) dx. X

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