Which Convergence Test to Use for ∑(k(k+2))/(k+3)^2 in Calculus?

mickellowery · May 3, 2010

Homework Statement

∑(k(k+2))/(k+3)^2 I honestly have no idea where to start with this I was going to try a ratio test but I wasn't sure if it would be (k+1)(k+3)/(k+4)²*(k+3)²/(k(k+2)

Homework Equations

3. The Attempt at a Solution

Dunkle · May 3, 2010

What is the limit as k goes to infinity of

[tex]\frac{k(k+2)}{(k+3)^{2}}[/tex] ?

What does this tell you?

physicsman2 · May 3, 2010

Big Hint: Going off of what Dunkle said, use Divergence Test.

mickellowery · May 4, 2010

Yea I was trying my hardest to make this problem way harder than it needed to be. Thanks a lot for your help.

Which Convergence Test to Use for ∑(k(k+2))/(k+3)^2 in Calculus?

Homework Statement

Homework Equations

Discussion

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