Let I be a generalized rectangle in R^n. Suppose that f_k is integrable on I for each k, and {f_k...

Question

Question

Let I be a generalized rectangle in R^n.

Suppose that f_k is integrable on I for each k, and {f_k} is uniformly convergent to f on I.

Prove that f is also integrable on I and Prove lim k->infinity of the integral of f_k on I is equal to the integral of f on I

math Advanced-Math

Answer 1

Answer #1

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Answer 2

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