If lim_(x→ 0) (e^(a-1)x+2cos bx+(c-2)e^(-x))/(xcos x-logₑ(1+x)) =… | JEE Main 2026 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2026 · 22 January, Shift 2Limits

If $\lim_{x\to 0} \frac{e^{(a-1)x}+2\cos bx+(c-2)e^{-x}} {x\cos x-\log_e(1+x)} =2$ , then $a^2+b^2+c^2$ is equal to

A
$3$
B
$7$
C
$5$
D
$9$

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