Let (x) = 1 if x is rational and f (x) = 0 if x is irrational.

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Let ƒ(x) = 1 if x is rational and f (x) = 0 if x is irrational. Prove that lim does not exist for any c. There exist rational and irrational numbers arbitrarily close to any c.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 03, 2023 09:56 AM

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Let (x) = 1 if x is rational and f (x) = 0 if x is irrational.

Question:

lim f(x) X→C

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Before we can prove the Product Law we need to establish one preliminary result We are given that li...View the full answer

Calculus

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