Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Continuity & Differentiability
Let f : [-1,1] → \(\mathbb{R} \) be continuous. Assume that \(\int_{-1}^1 f(t) dt = 1\) then \(lim_{n \to \infty } \int_{-1}^1 f(t) cos^2(nt) dt\) is
1
0
2
1/2
3
-1/2
4
1