Let f be a differentiable function such that f '(x) = 7 - … (x > 0) and f(1) … 4. Then … xf… :

Differential Equations

JEE Main 2019 · 10 Jan, Evening shift · Q3515

MathematicsMedium38×since 2002Q3515

Let f be a differentiable function such that f '(x) = 7 -

{3 \over 4}{{f\left( x \right)} \over x},

(x > 0) and f(1)

\ne

4. Then

\mathop {\lim }\limits_{x \to 0'} \,

\left( {{1 \over x}} \right)

JEE Main 2019 · 10 Jan, Evening shift · Q3515

MathematicsMedium38×since 2002Q3515

Let f be a differentiable function such that f '(x) = 7 -

{3 \over 4}{{f\left( x \right)} \over x},

(x > 0) and f(1)

\ne

4. Then

\mathop {\lim }\limits_{x \to 0'} \,

\left( {{1 \over x}} \right)