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Differential Equations question

2019 · 10 Jan · Shift 2 · Q24
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  5. /2019 · 10 Jan · Shift 2 · Q24

Differential Equations question

2019 · 10 Jan · Shift 2 · Q24

JEE MainMathematicsDifferential EquationsMCQ+4 / −1
Let f be a differentiable function such that f '(x) = 7 - 34f(x)x,{3 \over 4}{{f\left( x \right)} \over x},43​xf(x)​,(x > 0) and f(1) eee 4. Then lim⁡x→0′ \mathop {\lim }\limits_{x \to 0'} \,x→0′lim​ xf (1x)\left( {{1 \over x}} \right)(x1​) :
  1. A
    does not exist
  2. B
    exists and equals 47{4 \over 7}74​
  3. C
    exists and equals 4
  4. D
    exists and equals 0
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