Question: Let f be a positive, continuous, and decreasing function for x1, such that an=f(n). Note that if the series,n=1anconverges to S, then the remainder RN=S-SN
Let f be a positive, continuous, and decreasing function for x1, such that an=f(n). Note that if the series,n=1anconverges to S, then the remainder RN=S-SN is bounded by0RNNf(x)dxUse these results to approximate the sum of the corvergent series using the indicated number of terms. (Roundn=11n4 six terms Include an estimate of the maximum error for your approximation.0.0015n=11n4=1.08111.0811n=1n1n41.08261.08115k=11n4510.0015n=1n1n41.082615n=1n1n451.0826
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