Sequences and Series of Functions practice

$f_{n} \to 0$ pointwise on [0,1]

$f_{n} \to 0$ uniformly on [0,1]

$\int_{0}^{1} f_{n} \to 0$

$f_{n} \to 0$ uniformly on $[\delta, 1]$ for every $\delta \in (0,1)$