CALCULUS HELP PLEASE.
How do you determine whether this series (I'll write in question) diverges or converges?

Question

CALCULUS HELP PLEASE.
How do you determine whether this series (I'll write in question) diverges or converges?

davidusa · Answer

ill write it now

anonymous · Answer

alright bro

davidusa · Answer

summation of n from 1 to infinity of  (arctan n)/(n^4)

davidusa · Answer

$$\sum_{n=1}^{\infty}\frac{ \tan^{-1} n }{ n^4 }$$

davidusa · Answer

There it is in real calculus form with all the signs and stuff.

davidusa · Answer

What test do you use? Ratio test? The Integral Test? The Direct Comparison Test? The Limit Comparison Test?

davidusa · Answer

And how do you do it?
I don't need a complete explanation but at least explain it a little.

anonymous · Answer

bro it converges when you compare it with the p-series 1/n^4 since p = 4 it converges using i believe the limit comparison test..try that

davidusa · Answer

Well it diverges it says in the answer key... but i dont know how to get it.
thanks for trying though.

anonymous · Answer

wait really? That's soo weird hmm..idk man i tried lol

davidusa · Answer

thanks for trying... i mean my sister says it diverges she's pretty sure. she's better than me at calculus, she's 3 years older than me. (she's in 10th grade im in 6th)

anonymous · Answer

wait what?! Bro ur in 6th grade?! how are you..omg i have full respect for u

davidusa · Answer

lol

davidusa · Answer

im 11 it says on my profile page. im 11 6th grade

davidusa · Answer

yea i know im a little young

davidusa · Answer

uhhh.... DUDE? u still there?