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Let $f : R \to R$ be a differentiable function with $f (0) = 0$ . If $y = f (x)$ satisfies the differential equation $\frac{d y}{d x} = \frac{1}{( 2 + 5 x ) ( 5 x - 2 )}$ , then the value of $(lim)_{x \to \infty} f (x)$ is ______

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Oliver Discussed

Let

f : R \to R

be a differentiable function with

f (0) = 0

. If

y = f (x)

satisfies the differential equation

\frac{d y}{d x} = \frac{1}{( 2 + 5 x ) ( 5 x - 2 )}

, then the value of

(lim)_{x \to \infty} f (x)

is ______

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Question Text	Let $f : R \to R$ be a differentiable function with $f (0) = 0$ . If $y = f (x)$ satisfies the differential equation $\frac{d y}{d x} = \frac{1}{( 2 + 5 x ) ( 5 x - 2 )}$ , then the value of $(lim)_{x \to \infty} f (x)$ is ______
Answer Type	Video solution: 1
Upvotes	150