Question: Let f be a positive, continuous, and decreasing function forx 1,such thatan = f(n).If the seriesann =1converges to S, then the remainderRN = S SNis

Let f be a positive, continuous, and decreasing function forx 1,such thatan = f(n).If the seriesann =1converges to S, then the remainderRN = S SNis bounded by0 RN Nf(x) dx.Use the result above to approximate the sum of the convergent series using the indicated number of terms. (Round your answers to four decimal places.)n =11n2+1, seven termsInclude an estimate of the maximum error for your approximation.

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