Geostudio 2004 Crack Full Version
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Show that $\lim\limits_{x\to\infty} \dfrac{\cot x}{x}=0$.
Show that $$\lim_{x\to\infty} \dfrac{\cot x}{x}=0$$
$\cot x$ is bounded so $\lim\limits_{x\to\infty} \dfrac{\cot x}{x}$ exist and is finite.
We need to prove that $\lim\limits_{x\to\infty} \dfrac{\cot x}{x}=0$.
Also, it’s clear that $$\lim_{x\to\infty} \dfrac{\cot x}{x} \le\lim_{x\to\infty}\dfrac{\cot x}{x}=0$$
Let’s prove that $\lim\limits_{x\to\infty} \dfrac{\cot x}{x} \ge 0$
Note that $\lim\limits_{x\to\infty} \dfrac{\cot x}{x}=\lim\limits_{x\to\infty} \dfrac{\sec^2 x}{\cos^2 x}$.
Now $$0\ge \lim_{x\to\infty} \dfrac{\cos^2 x}{\cos^2 x}=\lim_{x\to\infty} \dfrac{\sin^2 x}{x^2}=\lim_{x\to\infty} \dfrac{1-\cos 2x}{2x}$$
So $$\lim_{x\to\infty} \dfrac{\cos https://surprisemenow.com/?p=32055
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