Let \alpha be a non-zero real number. Suppose f: {\R} \rightarrow {\R} is a differentiable function such that f(0)=2 and \lim_{ {\x} \rightarrow-\infty} {\f}( {\x})=1. If f^{'}( {\x})=\alpha f(x)+3, for all {\x} \in {\R}, then f (-\log _{ {\e}} 2) is equal to [1-Feb-2024 Shift 2]

JEE Main 1-Feb-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 7 of 90

Marks: +1, -0

Let α be a non-zero real number. Suppose f:R⟶ R is a differentiable function such that f(0)=2 and

lim

x⟶−∞

f(x)=1. If f′(x)=αf(x)+3, for all x∈R, then f(−loge2) is equal to

[1-Feb-2024 Shift 2]

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