I want to prove that ∑∞k=1(1k−12k) diverges? I want to do this with the comparison test, but I don't find a divergent series.
An other point I want to ask, if you can do this: ∑∞k=1(1k−12k)=∑∞k=11k−∑∞k=112k? One of this series of the right hand side is convergent, therefore you don't have the undefined case ∞−∞.
Friday, 8 March 2013
real analysis - series is divergent
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