Determine pointwise limit function and check for uniform convergence

Question

I've tried this question in different forms multiple times and continue to get the wrong answer.

Let $x_n(t)$ be defined by $$x_n(t) = \begin{cases} 0 & 0 \leq t \leq 4/n \\ 4n & 4/n < t < 7/n \\ 0 & 7/n \leq t \leq 2 \end{cases}$$ Determine the pointwise limit function $x$ and determine whether or not the convergence is uniform.

Any help is appreciated. I'm beyond stuck.

Answer 1

The pointwise limit is the zero function, and note that $\sup_{x\in[0,2]}x_{n}(t)$ becomes more and more larger as $n$ tends larger, so can you conclude that whether the convergence is uniform or not?