Question: (Real Analysis} Let :r E R,f(:r) = 3:2/(32 +1) a) Prove x is bounded in R and find both inf(f(x)} and sup[f(x)) b) Prove f(x]

(Real Analysis} Let :r E R,f(:r) = 3:2/(32 +1) a) Prove x is bounded in R and find both inf(f(x)} and sup[f(x)) b) Prove f(x] does not have a global maximum using Extreme Value Theorem and state why it is not a Violation of EVT

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