PracBeeLogin

Jee Advanced

Limits Continuity And Differentiability

JEE Advanced 2025 Paper 1 Online

INTEGER+4 / -02025

Let α and β be the real numbers such that


$ \lim\limits_{x \to 0} \frac{1}{x^3} \left( \frac{\alpha}{2} \int\limits_0^x \frac{1}{1-t^2} \, dt + \beta x \cos x \right) = 2. $


Then the value of α + β is ___________.

Continue this paper

Similar Limits Continuity And Differentiability PYQs

More practice from this question