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JEE Advanced Mathematics question

MathematicsLimitJEE Advanced

Let be a twice-differentiable function and then is

Answer: (A)

Solution

At the numerator is , so the form is . By L'Hospital's rule:

.

At the numerator is , again . Applying the rule again:

=Missing argument for \frac\frac{(2-12+16)f'

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Question ID VK-109274