Question: For n ( 1, let fn be real-valued measurable functions defined on (, and suppose that |fn (x)| ( M ( for x ( (.

For n ( 1, let fn be real-valued measurable functions defined on (, and suppose that |fn (x)| ( M ( for x ( (. Then for any sequence {xn} with it holds ( 0 a.e. [(], where ( is the Lebesgue measure?

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