Proof the limit of a difficult function – math.stackexchange.com

Proof the limit of a difficult function – math.stackexchange.com

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I have to prove that $$ \lim_{x\to\infty}\frac{\sqrt x\cos(x-x^2)}{x+1} = 0. $$ I tried squaring both the denominator and numerator to get rid of $\sqrt{x}$ but then $\cos$ becomes $\cos^2$ and I ...

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