Let xn x and yn y be convergent sequences in a normed linear space X.

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Let xn → x and yn → y be convergent sequences in a normed linear space X. The sequence ( xn + yn ) convergent to x + y, and αxn converges to αx.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:29 AM

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Let xn x and yn y be convergent sequences in a normed linear space X.

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First note that each term x y by linearity Similarly x y Fix some ...View the full answer

Foundations of Mathematical Economics

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