Hey what is the sum of the series :

1 + (1 + 2)/2! + (1 + 2 + 2^2)/3! +.....

I know that the nth term is (2^n - 1)/n! .

How does that help?

Thanks :)

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- Jun 6th 2010, 11:00 AMpoornasum of the series
Hey what is the sum of the series :

1 + (1 + 2)/2! + (1 + 2 + 2^2)/3! +.....

I know that the nth term is (2^n - 1)/n! .

How does that help?

Thanks :) - Jun 6th 2010, 11:15 AMmfetch22numerical estimation
I'm thinking that this series is an expansion of a simpler function, but I'm not certain. Instead, since I couldnt see the pattern, I just numerically calculated it and heres roughly what I found to be the sum:

4.6707742704716 - Jun 6th 2010, 11:20 AMBruno J.
Recall that $\displaystyle \sum_{j=0}^\infty \frac{x^j}{j!} = e^x$...