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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→0sin⁡(sin⁡x)−sin⁡xax3+bx5+c=−112\lim \limits_{{x \rightarrow 0}} \frac{\sin (\sin x)-\sin x}{a x^3+b x^5+c}=-\frac{1}{12}, then
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Correct option: A
a=2,b∈R,c=0a=2, b \in R, c=0
Option A (a=2,b∈R,c=0a=2, b \in R, c=0) is correct because the limit exists and equals -1/12 only when a=2 and c=0, with b being any real number.

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