Does $\int_1^\infty\sin (\frac{\sin x}{x})\mathrm d x$diverge or not? If it converges, does it converge conditionally or absolutely?
I guess that it converges conditionally, also,I think it may be related to $\int_{n\pi}^{(n+1)\pi}\frac{\sin x}{x}\mathrm d x$ , but I do not know how to start?
Any help will be appreciated.
Sunday 19 July 2015
integration - Does $int_1^inftysin (frac{sin x}{x})mathrm d x$diverge or not?
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