5. Let f(x)=√x² if x is rational Zo if x is irrational AR a.) Is f continous at o? bj Is f continous at 1? I Isf continous at 52? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
5
5) Let
3
faxd= [x² if x is rational
{
20 if x is irrational
a. Is f continous ato?
b. Is f continous at 1?
Isf continous at 52?
Justify your answer.
Transcribed Image Text:5) Let 3 faxd= [x² if x is rational { 20 if x is irrational a. Is f continous ato? b. Is f continous at 1? Isf continous at 52? Justify your answer.
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