Infinite Series

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Can you name the sums to these Infinite series?

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Series SumGeneral form
1/2+1/4+1/8+1/16...1/(2^n)
1/1+1/1+1/2+1/6+1/24+1/120...1/(n!)
9+9/10+9/100+9/1000...(9)/(10^n)
1/2+1/6+1/12+1/20+1/30+1/42...1/(n^2-n)
1/1-1/3+1/5-1/7+1/9...(-1)^n/(2n+1)
1/1+1/4+1/9+1/16...1/(n^2)
1/1+1/16+1/81+1/256...1/(n^4)
(1-1/[e^2])+[(1-1/[e^2])^2]/2+[(1-1/[e^2])^3]/3...[(1-1/[e^2])^n]/n

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Created Dec 6, 2009ReportNominate
Tags:form, infinite, sum