# Absolutely or conditional convergence

#### Dreamer78692

is this series Absolutely or conditional convergent

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

#### choovuck

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

HallsofIvy