Evaluate ( _ x 0 1- x x^ 2 4x 4x ).

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Evaluate

\displaystyle \lim_{x\to 0}\frac{1-\cos x}{x^{2}}\cdot\frac{\sin 4x}{4x}

. (a)

0

(b)

\dfrac12

(c)

2

(d)

\dfrac14

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