a. Use the fact that every nonempty interval of real numbers contains both rational and irrational numbers

Question:

a. Use the fact that every nonempty interval of real numbers contains both rational and irrational numbers to show that the function

is discontinuous at every point.

b. Is ƒ right-continuous or left-continuous at any point?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 14, 2023 02:16 AM

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a. Use the fact that every nonempty interval of real numbers contains both rational and irrational numbers

Question:

f(x)= = [1, 0, if x is rational if x is irrational

Step by Step Answer:

a To show that the function x 1 if x is rational 0 if x is irrational is discontinuous at every poin...View the full answer

Thomas Calculus Early Transcendentals

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