2. Consider the function if x = in lowest terms q > 0, p, q € Q; f(x) = O if x e Q°,x = 0 Question: Show that f is continuous at x=0 and every irrational.
2. Consider the function if x = in lowest terms q > 0, p, q € Q; f(x) = O if x e Q°,x = 0 Question: Show that f is continuous at x=0 and every 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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Transcribed Image Text:2. Consider the function
f(x) = {9
if x
in lowest terms q > 0, p,q E Q;
0 if x e Q°,x = 0
Question: Show that f is continuous at x=0 and every irrational.
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