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JEE Math Practice Question

Let $$f:R \to R$$ be a positive increasing function with $$\mathop {\lim }\limits_{x \to \infty } {{f(3x)} \over {f(x)}} = 1$$. Then $$\mathop {\lim }\limits_{x \to \infty } {{f(2x)} \over {f(x)}} = $$

  1. A.$${2 \over 3}$$
  2. B.$${3 \over 2}$$
  3. C.3
  4. D.1

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