Let a. Show that is continuous at x = 0. b. Use the fact that every
Question:
Let
a. Show that ƒ is continuous at x = 0.
b. Use the fact that every nonempty open interval of real numbers contains both rational and irrational numbers to show that ƒ is not continuous at any nonzero value of x.
Transcribed Image Text:
f(x) = fx, if x is rational 10, 0, if x is irrational.
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a To show that is continuous at x 0 we need to show that the limit of the function as x approaches 0 ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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