Letg(x) := if x E [0, 1] is rational and g(x) := l/x if x E [0, 1] is irrational

Chapter 7, Problem 10

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Letg(x) := if x E [0, 1] is rational and g(x) := l/x if x E [0, 1] is irrational. Explain whyg fj R[.O, 1].However, show tha.t there exists a sequence (p n ) of tagged partitions of [a, b] suchthat lI'PnII ~ 0 andlimn S(g; 1'n} exists.

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