1)Prove that

1)1+ 1/2! + 1.3/4! + 1.3.5/6! + ……………………=e^1/2

2) 2) Evaluate the series

1 + 3/1! + 5/2! + 7/3! + …………………………….

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- Jul 4th 2008, 09:26 PMsomnath6088problem of power series
1)Prove that

1)1+ 1/2! + 1.3/4! + 1.3.5/6! + ……………………=e^1/2

2) 2) Evaluate the series

1 + 3/1! + 5/2! + 7/3! + ……………………………. - Jul 4th 2008, 10:00 PMmr fantastic
- Jul 5th 2008, 06:29 AMSoroban
Hello, somnath6088!

mr fantastic has the best approach to #1 . . .

. . I did it head-on.

We know that: .

Quote:

Prove that: .

. .

. .

And this is the infinite series for: .