Question: Let (X, M, u) be a measure space. Given an example that a sequence of a.e. real valued measurable functions on X that converges

Let (X, M, u) be a measure space. Given an example that

Let (X, M, u) be a measure space. Given an example that a sequence of a.e. real valued measurable functions on X that converges almost everywhere and in measure, but does not converge almost uniformly.

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