Problem 2. Let f be a continuous function on [a, b]. Show that if P is a partition of [a, b], then Lf(P),Uƒ(P), and [L¡(P)+Uf(P)] are all Riemann sums. (Hint: use extreme-value theorem and intermediate-value theorem)

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A: The given proof is correct.

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A: Given function is g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even.

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A: We can find Left and Right Riemann sums .

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A: Here's the analysis to determine if f is Riemann integrable:1. Function Definition:We are given a…

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A: Please go through the attached solution. Thankyou . Best regards.

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