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mathmaniac
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- Mar 4, 2013
- 188
sigma(1/n)
Is there a formula for it?
Is there a formula for it?
There is no closed formula. but approximatelyIs there a formula for it?
Also note that the infinite series is divergent, and so that can not possibly have a closed form.sigma(1/n)
Is there a formula for it?
The above statement is not quite correct asAlso note that the infinite series is divergent, and so that can not possibly have a closed form.
The FINITE series has a closed form. The INFINITE series does not. There is nothing wrong with what I said.The above statement is not quite correct as
sigma n = n(n+1)/2 is divergergent but it has a colsed form
I am sorry about my statement. I I meant closed form for the finite sum and then as n tends to infinite. My due apologiesThe FINITE series has a closed form. The INFINITE series does not. There is nothing wrong with what I said.
It is neither algebraically possible to obtain a homogeneous difference equation by symbolic differencing, nor to find an elementary particular solution to attempt the method of undetermined coefficients.Why not a formula f(n) such that f(n)-f(n-1)=1/n
Why isn't it possible?