Question

determine if converges or diverges

Answer 1

How would you work this out?

Answer 2

I was thinking of doing a comparison to a p-series with p = 5/2 (1 / k^(5/2))

Answer 3

comparison test*

Answer 4

Limit comparison test. Compare with (2+sqrt(k))/(k+1)^3

Answer 5

but first you need to decide whether (2+sqrt(k))/(k+1)^3 is convergent or divergent

Answer 6

ohh ok i see! i do have another quick question

Answer 7

how would you approach this

Answer 8

tried limit comparison test with 1/2^(-k) which is same as 2^k ?