JEE Advanced_2018_S2 ( Mathematics 2018 Q-10 ) - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Advanced 2018

Paper-2 2018

Question

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

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