Multiple choice general knowledge math & puzzles

If f(x) is a differentiable function such that f '(0) = 2, f '(2) = -3 and f '(5) = 7 then the limit lim [f(x) - f(4)] / (x - 4) as x approaches 4 is equal to

  1. 2

  2. -3

  3. 7

  4. None of the above
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D Correct answer
Explanation

The limit expression represents the definition of the derivative $f'(4)$. The problem provides values for $f'(0)$, $f'(2)$, and $f'(5)$, but does not provide the value for $f'(4)$. Since $f'(4)$ cannot be determined from the given information, 'None of the above' is correct.

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