consider the measure space (X,$\mathcal{M}$,$\mu$).imagine the non-negative and Lebesgue measurable function $f:X\rightarrow \mathbb{R}$ is given. Prove that there is a sequence of simple functions $$\lim_{i \to\infty} f_i(x)=f(x), \forall x \in X$$
2026-04-13 19:44:07.1776109447
Approximation of measurable function by simple functions 2
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