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QUESTION
Consider the function f : R R with f(x) = x if x is rational; 1 if x is irrational. (a) Show that f(x) is continuous at x = 1. (b) Show that f(x) is...
Consider the function f : R → R with
f(x) = x if x is rational;
1 if x is irrational.
(a) Show that f(x) is continuous at x = 1.
(b) Show that f(x) is not continuous at x = 0.
