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$$\lim_{\omega \to \infty } \, \frac{\left| C\right| \text{Si}\left(\frac{\omega }{2}\right) \sqrt{1-\cos (\omega )} \csc \left(\frac{\omega }{2}\right)}{\sqrt{\pi } \log (\omega )}$$

$\text{Si}$ is SineIntegral

I'd like to know if its possible to evaluate this limit.

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    $\sqrt{1-\cos x}\csc x/2$ is limited http://m.wolframalpha.com/input/?i=sqrt%281-cos+x%29CSC+x%2F2&x=11&y=7 , and $Si$ converges so the logarithm dominates and the limit is $0$ – 2017-01-03
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    @N74 : Can you try evaluating the entire limit in wolfram? I tried in mathematica and with no result! – 2017-01-03
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    Probably also Wolfram would fail. I'm on mobile at the moment but you can try by yourself on wolfram website. – 2017-01-03
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    pull the irrelevant constants out of the limit, i get eyecancer from this...:/ – 2017-01-03
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    Furthermore $\text{Si}(x)\sim_{\infty}\frac{\pi}2+\mathcal{O}(\frac{\cos(x)}{x})$ so.... – 2017-01-03
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    @tired : Assuming absence of $log(\omega)$ would the limit be $|C|$? – 2017-01-03
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    Without the log the function is alternating and so there's no limit. – 2017-01-07

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