# Thread: Absolutely or conditional convergence

1. ## Absolutely or conditional convergence

is this series Absolutely or conditional convergent

[k^(1/2)sin(k)]/(k^2)

2. Originally Posted by Dreamer78692
is this series Absolutely or conditional convergent

[k^(1/2)sin(k)]/(k^2)

in absolute value this is bounded by \sum 1/k^(3/2), which is convergent. therefore this converges absolutely