Real Analysis I must determine if the two series below are divergent, conditionally convergent or absolutely convergent. Further I must prove this. In other words, if I use one of the tests, like the...

Real Analysis

I must determine if the two series below are divergent, conditionally convergent or absolutely convergent.  Further I must prove this.  In other words, if I use one of the tests, like the comparison test, I must fully explain why this applies.

a) 1-(1/1!)+(1/2!)-(1/3!) + . . .

b) (1/2) -(2/3) +(3/4) -(4/5) + . . .

Thank you.