Finding the sum, verify my answer please.

**l flipboi l** · September 25th 2011, 11:56 PM

Hello,

Can someone please verify my answer?

Here's what I got: 8/2e-10

Thanks,

**Prove It** · September 26th 2011, 12:14 AM

Originally Posted by l flipboi l

Hello,

Can someone please verify my answer?

Here's what I got: 8/2e-10

Thanks,

$\displaystyle \begin{align*} \sum_{n = 1}^{\infty}\left[\frac{5}{e^n} + \frac{3}{n(n + 1)}\right] &= 5\sum_{n = 1}^{\infty}\left(\frac{1}{e}\right)^n + 3\sum_{n = 1}^{\infty}\left(\frac{1}{n} - \frac{1}{n + 1}\right) \\ &= 5\left(\frac{\frac{1}{e}}{1 - \frac{1}{e}}\right) + 3\lim_{n \to \infty}\left(1 - \frac{1}{n + 1}\right) \\ &= \frac{5}{e - 1} + 3 \\ &= \frac{5}{e-1} + \frac{3(e-1)}{e - 1} \\ &= \frac{3e + 2}{e - 1} \end{align*}$

Thread: Finding the sum, verify my answer please.

LinkBack

Thread Tools

Display

Finding the sum, verify my answer please.

Re: Finding the sum, verify my answer please.

Similar Math Help Forum Discussions

Finding an. Verify my answer.

Verify me answer please

Verify answer please

I want to verify my answer

Could someone verify answer plz(Finding general solution)

Search Tags