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1. Prove that for all integers n > 2, f(x) = x1/" is continuous on [0, co). 2. Discuss the continuity of the functions fi(x) = V(x -a)(b- I) and f2(x) =1 for a, be R with a [a, b] with f being continuous. Show that there is a number c in [a, b] such that f (c) = c. 4. Show that f(x) = 4-12 is uniformly continuous on the interval (-1, 1) by definition. 5. Let a, b, c E R with a