6. (a) Suppose that E is a Jordan region in Rn and that Ik : E --+...

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(a) Suppose that E is a Jordan region in Rn and that Ik : E --+ R are integrable on E for kEN. If Ik --+ 1 uniformly on E as k --+ 00, prove that 1 is integrable on E and

(b) Prove that lim ( A (x) d:i; = ( I(x) d:i;.

k---+OOJE J E lim Jr { cos(xjk)eY / k dA k---+oo J E exists, and find its value for any Jordan region E in R2.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:15 AM

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6. (a) Suppose that E is a Jordan region in Rn and that Ik : E --+...

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An Introduction To Analysis

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