Question

Problem 25. Letf : [a, b] → R be an increasing function. Show that limx→a f(x) exists. What can you say about the relationship between this limit and f(a)? Problem 26. Letf,g: R → R be two continuous functions. Define h(x) = max {f(x), g(x)} for all x E R. Show that h is continuous on R.

Answer 1

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