Multiple choice

$\lim_{x \to \infty}\frac{x-\sin x}{x+\cos x}$ equals

  1. 1

  2. -1

  3. $\infty$
  4. $-\infty$
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A Correct answer
Explanation

$\lim_{x \to \infty}\frac{x-\sin x}{x+\cos x}$ = $\lim_{x \to \infty}\frac{1- \dfrac{\sin x}{x}}{1+\dfrac{\cos x}{x}}$