Solution
= Solution
<Uniform convergence> means: for every $\varepsilon\gt 0$ there is $N$ such that $n\ge N$ implies $|f_n(x)-f(x)|\lt \varepsilon$ for every $x\in E$.
= Solution
<Uniform convergence> means: for every $\varepsilon\gt 0$ there is $N$ such that $n\ge N$ implies $|f_n(x)-f(x)|\lt \varepsilon$ for every $x\in E$.