Question: measure theory signifient 4 (15ba) Problem 1. Let E = [0, 2) and consider the following sequence of func- tions on E: fn(I) = 20

measure theory

signifient 4 (15ba) Problem 1. Let E = [0, 2) and consider the following sequence of func- tions on E: fn(I) = 20 1 if r E [0, 1]; if I E (1, 2] , n = 1,2, ... 271 1 (a) Compute In dm. n=1 E (b) Calculate f(x) = > f,(x). Does the integral / f dm exist? If so, E n= 1 compute I f dm

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