Hi everyone,

how do i find if the series converges absolutely or conditionally.

i need help with these question.

Test the alternating series for convergence or divergence.

i) $\displaystyle \sum^\infty _{n=1}$$\displaystyle \frac {(-1)^{(n-1)}}{n^\frac {1}{2}}$

my working, by expanding,

1>0.7071>0.577

The series converges.

* i need to find the limit to confirm, how do i do this? is it

$\displaystyle limit \frac {1}{n^\frac{1}{2}} = 0$

thank you for all your help.