speedychaos4 wrote:Hi, anyone who knows how to evaluate this sum?
I'm think I'm quite poor in evaluating sums of series of finite sums, since I got stuck most of the time I encounter them, can anyone recommend some material about this topic (it would be great if it focus on methods of evaluating the sum) so that I could study more about this? Thanks
labyrinth9 wrote:f(4) = derivative(integral(f(x)))|x=4, since they are inverses.
So, we can represent n/(4^(n+1)) as
Therefore, we have the ans is equal to
d/dx[SUM[-(1/x)/(1-(1/x))]]|x=4, since d/dx is linear
ps. Sorry I don't know LaTeX... I really should learn.
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