Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsMethods of DifferentiationsJEE Advanced

Let be differentiable on the interval such that , and

= 1

for each . Then is

Answer: (A)

Solution

The limit is of form (in the variable ). By L'Hospital's rule (differentiating w.r.t. ):

= 2xf(x) - f'(x) = 1.

So . Divide by :

= -

See the full step-by-step solution

Create a free account to read the complete working (7 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-110637