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a) Let h: [0, 1] R be defined by h(x) = 2 + x if x is rational 2x if x is irrational =

a) Let h: [0, 1] R be defined by h(x) = 2 + x if x is rational 2x if x is irrational = 1 2 3 ''n' n' n " where Pn is the partition Pn= {0, i) Compute both U(Pn) and L(Pn) ii) now compute limn U(Pn) and limn L(Pn) iii) explain with justification if h is Riemann integrable or not. ,2 = 1}

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