Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyLimits

The value of
 lim⁡x→0\mspace2muln(1+2sin3x)sinx\ \lim_{x \rightarrow 0}\mspace{2mu}\frac{ln(1 + 2sin3x)}{sinx} is
equal to

Show answer and solution
lim⁡x→0\mspace2muln(1+2sin3x)2sin3x⋅2sin3xsinx\lim_{x \rightarrow 0}\mspace{2mu}\frac{\mathcal{l}n(1 + 2sin3x)}{2sin3x} \cdot \frac{2sin3x}{sinx}
= 1(2×3) = 6

Source: Grass-G / M-19 Mathematics Paper 28 Nov Fourth.docx

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