Let f be a positive, continuous, and decreasing function for x 2 1, such that a,…

Let f be a positive, continuous, and decreasing function for x 2 1, such that a, = f(n). Note that if the series, converges to S, then the remainder R – S – Sis bounded by OSRNS / (x) dx. Use these results to find the smallest N such that RN 30.001 for the convergent series.