Thursday, 9 July 2015

real analysis - the sum of the series sumfracn2n

the sum of the series n=112n is 1. It is easy to find since it is a g.p. the series n=1n2n is convergent by ratio test. How will find the infinite sum? I am trying to rearrange the terms and to use the rearrangement theorem, but I can't complete

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...