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The following inequality is true for all $x$ close to 0 . $2-\frac{x^{2}}{3}<\frac{x \sin x}{1-\cos x}<2$ What is the value of $\lim _{x \rightarrow 0} \frac{x \sin x}{1-\cos x} ?$
(A) 0
(B) $1 / 2$
(C) 1
(D) 2


Question ID - 157037 | Toppr Answer

The following inequality is true for all $x$ close to 0 . $2-\frac{x^{2}}{3}<\frac{x \sin x}{1-\cos x}<2$ What is the value of $\lim _{x \rightarrow 0} \frac{x \sin x}{1-\cos x} ?$
(A) 0
(B) $1 / 2$
(C) 1
(D) 2

1 Answer - 5876 Votes

3537

Answer Key : (D) -

2



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