1. Determine whether the series converges or diverges: n=1n3+1n

1. Determine whether the series converges absolutely, converges conditionally or diverges. Please show an appropriate test to justify your answer:

n=1(1)n+1n(n+3))n+2

1. Find the Radius and Interval of convergence: n=1n(1)n+1(x+1)n

PLEASE GIVE FULL WORKINGS FOR ALL THREE PROBLEMS.