GATE XE (Engineering Sciences) 2007 - Question 13

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Section: Engineering Mathematics | Marks: 2

Let $f: \mathbb{R} \to \mathbb{R}$ be a twice differentiable real valued function such that $f(1/n) = 1$ for $n = 1, 2, 3, \dots$. Then

  • A. $f'(0) = 0$
  • B. $f'(0) = 1$
  • C. $0 < f'(0) < 1$
  • D. $f'(0) > 1$

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