It might be somewhat useful to recall that sinc(n,x) = sin(nx))/(nx) = 1/(n*x) * (exp(i*n*x)-exp(-i*n*x))/(2i), which is a much better looking thing. Once may further recall a thing called "integral sine" Si(x), which happens to be an integral from 0 to x of 1/t*sin(t)dt and that the limit of Si(x) at x reaching +infinity is #pi/2.
Yup, I am deep in numerical, so my first thought when I see non integrable is to approximate. It is all about what we used to and doing on a regular basis. But thank you anyway, i like to do that sort of things kids like it too, we buy books of problems to solve just for fun.
Though, nice departure from our annoying everyday routine.
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timeasmymeasure
no subject
Date: 2017-01-26 01:47 am (UTC)no subject
Date: 2017-01-26 01:55 am (UTC)Though, nice departure from our annoying everyday routine.