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Series Convergence and Integral Test

1.) use integral test p>1 for series sum of n/((1+n^2)^p) to show that it converges using substitution

2.) a.) explain why sum from n=0 to infinity of (-1)^n (n^2/(1+n^3)) converges
b.) how many terms of that series should you sum to have an error no more than (1/100)

Solution Summary

This is two questions regarding showing series convergence.