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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.

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