Consider the function: 0 ;if x is rational 1 ;if x is irrational f(x) = a. Use a 8, e argument to prove that f(x) is not continuous at any point x = a, where "a" is a rational number. Hint: You need the fact that any interval around x = a, contains both rational and irrational numbers whether "a" itself is rational or irrational.

Consider the function: 0 ;if x is rational 1 ;if x is irrational f(x) = a. Use a 8, e argument to prove that f(x) is not continuous at any point x = a, where "a" is a rational number. Hint: You need the fact that any interval around x = a, contains both rational and irrational numbers whether "a" itself is rational or irrational.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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