a) Suppose that E is a Jordan region in Rn and that fk E R are integrable on E for k N If fk f uniformly on E as k , prove that f is integrable on E and b) Prove that exists, and find its value for any Jordan region E in R2 lim f(x) dx f(x) dx lim cos(x k)e dA...

a Since Uf G Lf G Uf f N G Lf f N G Uf N G Lf N G I1 I2 and f N is integrable we can show that f is ...

a) Suppose that E is a Jordan region in Rn and that fk: E R are integrable

Question:

a) Suppose that E is a Jordan region in Rn and that fk: E †’ R are integrable on E for k ˆˆ N. If fk †’ f uniformly on E as k †’ ˆž, prove that f is integrable on E and

b) Prove that

exists, and find its value for any Jordan region E in R2.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:23 AM

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a) Suppose that E is a Jordan region in Rn and that fk: E R are integrable

Question:

lim | f(x) dx = | f(x) dx. lim cos(x/k)e dA

Step by Step Answer:

a Since Uf G Lf G Uf f N G Lf f N G Uf N G Lf N G I1 I2 and f N is integrable we can show that f is ...View the full answer

An Introduction to Analysis

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