[SPLIT] sum, n to infty, of n^(1/2) / ((n^2)+3)

[asdf1234]

I just need one more problem!! someone please help :?

2. ∑ n=0 to infinity n^(1/2) / ((n^2)+3) tell whether this converges absolutely, conditionally, or diverges. show what test you used.

 

[pka]

Use the limit comparison test, compare with \(\displaystyle \frac{1}{{\sqrt {n^3 } }}.\)

 

[asdf1234]

Use the limit comparison test, compare with \(\displaystyle \frac{1}{{\sqrt {n^3 } }}.\)

so does it converge or diverge?

 

[stapel]

so does it converge or diverge?

What did you get when you applied the test?

Please reply with all your work and reasoning. Thank you.

Eliz.