Question: Show that the Dirichlet function is not continuous at any real number. f(x): = 0, 1, if x is rational if x is irrational

Show that the Dirichlet functionf(x): = 0, 1, if x is rational if x is irrationalis not continuous at any real number.

f(x): = 0, 1, if x is rational if x is irrational

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