Question

Use an appropriate test to determine whether the series is absolutely convergent, conditionally convergent or divergent

Answer 1

\[\sum_{i=1}^{\infty} (-1)^{i+1}\frac{ \sqrt(i) }{ i+3 }\]

Answer 2

I did the LCT and my test series is \[\sum_{i=1}^{\infty} \frac{ i^{1/2} }{ i }\]

Answer 3

Would ratio test be appropriate? Sorry, I'm a little rusty.

Answer 4

Oh maybe let me try

Answer 5

Actually, try the alternating series test.

Answer 6

http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx

Answer 7

Okay i did that and I got that it converges conditionally. Do you think that's right

Answer 8

http://www.reactiongifs.com/wp-content/uploads/2013/07/bill.gif

Answer 9

Yay!!!! Thanks!

Answer 10

http://www.reactiongifs.com/wp-content/uploads/2013/01/wink-point.gif