Wednesday, 26 April 2017

calculus - How to evaluate the following limit? $limlimits_{xtoinfty}xleft(fracpi2-arctan xright).$

How can I evaluate this limit:



$$\lim_{x\to\infty}x\left(\frac\pi2-\arctan x\right).$$



I know that the correct answer is $1$, but why?

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