JEE Main 201910 Jan, Evening shiftMathematicsMediumDifferential Equations163× since 2002Let f be a differentiable function such that f '(x) = 7 - 34f(x)x,{3 \over 4}{{f\left( x \right)} \over x},43xf(x), (x > 0) and f(1) ≠\ne= 4. Then limx→0′ \mathop {\lim }\limits_{x \to 0'} \,x→0′lim xf(1x)\left( {{1 \over x}} \right)(x1) :AOption A. does not existBOption B. exists and equals 47{4 \over 7}74COption C. exists and equals 4DOption D. exists and equals 0CheckSkip · show solution