D Dreamer78692 May 2010 57 3 Nov 11, 2010 #1 is this series Absolutely or conditional convergent [k^(1/2)sin(k)]/(k^2)

C choovuck Aug 2008 74 23 Nov 12, 2010 #2 Dreamer78692 said: is this series Absolutely or conditional convergent [k^(1/2)sin(k)]/(k^2) Click to expand... in absolute value this is bounded by \sum 1/k^(3/2), which is convergent. therefore this converges absolutely Reactions: HallsofIvy

Dreamer78692 said: is this series Absolutely or conditional convergent [k^(1/2)sin(k)]/(k^2) Click to expand... in absolute value this is bounded by \sum 1/k^(3/2), which is convergent. therefore this converges absolutely