state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematical Science Analysis Uniform Convergence
Consider the following sequence of function \(<\frac{2x}{(1 + n^2x^2)}>\), and check whether the series is uniformly convergent on [0, 1].
1
none of the above options hold
2
it is not uniformly convergent on [0, 1]
3
it is uniformly convergent on (0, 1)
4
it is uniformly convergent on [0, 1]
5
Question Not Attempted