If a function satisfies the relation \( f(x) f^{\prime \prime}(x)-f...

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If a function satisfies the relation \( f(x) f^{\prime \prime}(x)-f(x) f^{\prime}(x)=\left(f^{\prime}(x)\right)^{2} \) \( \forall x \in R \) and \( f(0)=f^{\prime}(0)=1 \), then
P
W The value of \( \lim _{x \rightarrow-\infty} f(x) \) is
(1) \( \frac{1}{\sqrt{e}} \)
(2) \( \frac{1}{e} \)
(3) \( \sqrt{e} \)
(4) \( e \)
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