JEE Main 202116 Mar, Morning shiftMathematicsMediumIntegral Calculus369× since 2002Let f : (0, 2) →\to→ R be defined as f(x) = log₂(1+tan(πx4))\left( {1 + \tan \left( {{{\pi x} \over 4}} \right)} \right)(1+tan(4πx)). Then, limn→∞2n(f(1n)+f(2n)+...+f(1))\mathop {\lim }\limits_{n \to \infty } {2 \over n}\left( {f\left( {{1 \over n}} \right) + f\left( {{2 \over n}} \right) + ... + f(1)} \right)n→∞limn2(f(n1)+f(n2)+...+f(1)) is equal to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
