The value of _ x 0 ( ( x)^ 1 x + 2x + 2 ^ -1 (3x) + 3x^2 (1 + 3x + ^2 x) + xe^x ) is…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The value of lim⁡x→0((tan⁡x)1sin⁡x+sin⁡2x+2tan⁡−1(3x)+3x2ln⁡(1+3x+sin⁡2x)+xex)\lim_{x \rightarrow 0} \left( (\tan x)^{\frac{1}{\sin x}} + \frac{\sin 2x + 2 \tan^{-1}(3x) + 3x^2}{\ln(1 + 3x + \sin^2 x) + xe^x} \right) is equal to (a) −1-1 (b) 22 (c) 11 (d) −2-2

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