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## Homework Statement

Find the sum of the series e[tex]{(n + 1)/n)}[/tex] - e[tex]^{(n + 2)/(n + 1)}[/tex]

## The Attempt at a Solution

Well for starters I got it into the proper format...IE

(((n + 1)/(n))^n)/n! - (((n + 2)/(n + 1))^n)/n!

But then I get a little lost...I would know how to take the limit, find convergence, divergence, but finding sums can be hard...I mean, it doesn't converge fast enough to just take the first few partial sums and be satisfied with that answer...help?