The sequence of real-valued function
fn(x) = xn, x ∈ [0, 1] ∪ {2} is
1
point wise convergent
2
uniformly convergent
3
does not uniformly convergent
4
point wise limit is f(x) = \(\left\{ \begin{matrix} 0, x = 0 \\\ 1, x \ne 0 \end{matrix} \right.\)
The sequence of real-valued function
fn(x) = xn, x ∈ [0, 1] ∪ {2} is