Question:medium

If \[ \lim_{x \to 0} \frac{\sin(\sin x) - \sin x}{ax^3 + bx^5 + c} = -\frac{1}{12}, \] then

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Always expand inner function first, then outer function carefully—sign mistakes are common.

Updated On: Apr 16, 2026

\(a=2, b\in \mathbb{R}, c=0\)
\(a=-2, b\in \mathbb{R}, c=0\)
\(a=1, b\in \mathbb{R}, c=0\)
\(a=-1, b\in \mathbb{R}, c=0\)

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The Correct Option is B

Solution and Explanation

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If \[ \lim_{x \to 0} \frac{\sin(\sin x) - \sin x}{ax^3 + bx^5 + c} = -\frac{1}{12}, \] then

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The Correct Option is B

Solution and Explanation

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