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Let f : [0, 1] – R be the Dirichlet function i.e. let f(x) :=
1 if x EQ
0 ifxe Q
Let, furthermore, g : 0, 1] -gt; R be a Riemann integrable function such that g(x) gt; f(x) for all x E [0, 1].
Prove that
9gt; 0.
Hint: Use the squeeze theorem.Math