Homework Soursedetermine convergence or divergence of the series sum 1 to i
determine convergence or divergence of the series (sum (1 to infinity) 2^n/((2n+1)!) . converges absolutely, converges conditionally, diverges or no conclusion can be drawn?
Solution
2^n/((2n+1)!)
denominatoe dominating numerator
thus
(2n+1)! > 2^n
as n tends to infinity series tends to zero
series converges.
