lim-x-x-2-x-sinx-

Question Number 28096 by tawa tawa last updated on 20/Jan/18

\lim_{x \to \infty} \frac{x^{2}}{x - sinx}

Commented by abdo imad last updated on 20/Jan/18

= {l i m}_{x \to\propto} \frac{x}{1 - \frac{s i n x}{x}} b u t / \frac{s i n x}{x} / ⩽ \frac{1}{/ x /}_{x \to\propto} \to 0

\Rightarrow {l i m}_{x \to\propto} \frac{x^{2}}{x - s i n x} = l i m_{x \to\propto} x = \propto .

Commented by tawa tawa last updated on 21/Jan/18

God bless you sir