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Limits Continuity and Differentiability question

2024 · 31 Jan · Shift 2 · Q56

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 31 Jan · Shift 2 · Q56

Limits Continuity and Differentiability question

2024 · 31 Jan · Shift 2 · Q56

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If

\lim_{x \rightarrow 0} \frac{a x^2 e^x-b \log _e(1+x)+c x e^{-x}}{x^2 \sin x}=1

, then

16\left(a^2+b^2+c^2\right)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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