lim_(x→∞) ((x + cos x)/(x + sin x))


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Question Number 41998 by Joel578 last updated on 16/Aug/18

$\lim_{x \to \infty} \frac{x + \cos x}{x + \sin x}$
	Answered by tanmay.chaudhury50@gmail.com last updated on 16/Aug/18

	$\lim_{x \to \infty} \frac{1 + \frac{c o s x}{x}}{1 + \frac{s i n x}{x}}$ $t h e v a l u e o f s i n x l i e s i n b e t w e e n \pm 1 w h a t e v e r$ $t h e v a l u e o f x$ $s i m i l a r l y t h e v a l u e o f c o s x l i e s i n b d t w e e n \pm 1$ $w h a t e v e r t h e v a l u e o f x$ $\lim_{x \to \infty} \frac{1 + 0}{1 + 0} = 1$
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