1. ## Convergence

∑ (27+∏)/(n^.5)
n=1

2. Originally Posted by cottoncandy

∑ (27+∏)/(n^.5)
n=1
$\displaystyle \sum_{n = 1}^{\infty} \frac {(27 + \pi)}{n^{0.5}} = (27 + \pi) \sum_{n = 1}^{\infty} \frac 1{n^{0.5}}$

use the p-series test

3. P-series tests show the sum is convergent if the exponent is greater than one.

4. thus, the series is divergent..

5. Originally Posted by kalagota
thus, the series is divergent..
Our help to the OP was a piecewise cumulative distribution function split in three different intervals!

6. Originally Posted by colby2152
Our help to the OP was a piecewise cumulative distribution function split in three different intervals!
haha, you're such a nerd, Colby!

anyway, thanks guys for just giving away the answer after i worked so hard to make sure the poster did something him/herself

7. Originally Posted by Jhevon
haha, you're such a nerd, Colby!

anyway, thanks guys for just giving away the answer after i worked so hard to make sure the poster did something him/herself
I'm more of a "dork" than anything. My bad, I just try to chime in and help whenever possible!