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Question
\[\lim_{x \to 0} \frac{\sin 2x}{x}\]
Options
(a) 0
(b) 1
(c) 1/2
(d) 2
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Solution
(d) 2
\[ = \lim_{x \to 0} 2\left( \frac{\sin 2x}{2x} \right)\]
\[ = 2 \times 1\]
\[ = 2\]
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