Join WhatsApp Icon JEE WhatsApp Group
Instructions

Given that for each $$a \in (0, 1)$$
$$\lim_{h \rightarrow 0^+} \int_{h}^{1 - h}t^{-a}(1 - t)^{a - 1}dt $$
exists. Let this limit be g(a). In addition, it is given that the function g(a) is differentiable on (0, 1).

Question 54

The value of $$g^{'} \left(\frac{1}{2}\right)$$ is

Create a FREE account and get:

  • Free JEE Advanced Previous Papers PDF
  • Take JEE Advanced paper tests

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now
Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.