Hey all i thought i understood this question, but after having another look i think my solution is wrong.

"Show that the sequence {an} is bounded, where an, is given by

$\displaystyle

a_n = \frac {(-1)^n}{n^3}

$ "

I know what if i show {an} is convergent, then it is therefore bounded.

My initial idea was to show that an was convergent by the alternatingseriestest.

But thats the problem, its not a series.

So is my method correct, or shall i be approaching this differently?

Thanks for your help!