A) compute s4 (the 4th partial sum) of the following series.
s=∑n=1[infinity]59n3
b.) estimate the error in using s4 as an approximation of the sum of the series. (i. e. use ∫[infinity]4f(x)dx≥r4 )
c.) use n=4 and sn+∫[infinity]n+1f(x)dx≤s≤sn+∫[infi nity]nf(x)dx to find a better estimate of the sum.