Question

is K(K + 2)/(K +3)^2 divergent or convergent and why

Answer 1

isn't the question incomplete?

Answer 2

it has sigma notation in front of it so as it goes to infinite

Answer 3

ratio test?

Answer 4

converges to 1 i think

Answer 5

limit test?

Answer 6

what limit test?

Answer 7

lim as k goes to infinity of that?

Answer 8

idk am i making sense?

Answer 9

you mean proving that the sequence converges to 0, which implies the sum converges

Answer 10

but the sequence does not converge to zero....

Answer 11

no i meant it converges to 1

Answer 12

proving that the limit as K goes to ininity of K(K + 2)/(K +3)^2 is convergent does not mean that the sum converges... as far as I know
I think you are confusing it with the limit comparison test or something else