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Let {f}:{R}{({0},)} and {g}:{R}{R} be twice differentiable fun

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Let $f : R \to (0, \infty)$ and $g : R \to R$ be twice differentiable functions such that f" and g" are continuous functions on R. suppose $f^{p r i m e} (2) = g (2) = 0, f (2) \neq = 0$ and $g^{'} (2) \neq = 0$ , If $x \to 2 lim \frac{f ( x ) g ( x )}{f ^{'} ( x ) g ^{'} ( x )} = 1$ then

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Theodore Discussed

Let

f : R \to (0, \infty)

and

g : R \to R

be twice differentiable functions such that f" and g" are continuous functions on R. suppose

f^{p r i m e} (2) = g (2) = 0, f (2) \neq = 0

and

g^{'} (2) \neq = 0

, If

x \to 2 lim \frac{f ( x ) g ( x )}{f ^{'} ( x ) g ^{'} ( x )} = 1

then

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Question Text	Let $f : R \to (0, \infty)$ and $g : R \to R$ be twice differentiable functions such that f" and g" are continuous functions on R. suppose $f^{p r i m e} (2) = g (2) = 0, f (2) \neq = 0$ and $g^{'} (2) \neq = 0$ , If $x \to 2 lim \frac{f ( x ) g ( x )}{f ^{'} ( x ) g ^{'} ( x )} = 1$ then
Answer Type	Video solution: 1
Upvotes	150