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CIIM 2012 Problem 4

  • Day 2

Let f(x)=sin⁡(x)xf(x) = \frac{\sin(x)}{x} Find lim⁡T→∞1T∫0T1+f′(x)2dx.\lim_{T\to\infty}\frac{1}{T}\int_0^T\sqrt{1+f'(x)^2}dx.

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