## Absolute convergence and Error

problem 1

How would you figure out if this series converges absolutley, conditionally or diverges?

series n=1 to infinity (-1)^n+1 (10 to the nth root)

problem 2

how would you approximate the sum with an error of magnitude less than 5x10^-6.

series n=0 to infinity (-1)^n (1/n!)

the sum of the series is e^-1