Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Continuity & Differentiability
माना f : [-1,1] → \(\mathbb{R} \) सतत है। मान लीजिए \(\int_{-1}^1 f(t) dt = 1\) है, तब \(lim_{n \to \infty } \int_{-1}^1 f(t) cos^2(nt) dt\) है:
1
0
2
1/2
3
-1/2
4
1