Question: need help with this 0, for a: rational 33, for a: irrational. 2. Let f (x) = { (a) Show that limaHO f(33) exist. (b)

need help with this

0, for a: rational 33, for a: irrational. 2. Let f (x) = { (a) Show that limaHO f(33) exist. (b) Use Theorem 4.1 to show that for p 75 0 the limmhp f (as) does not exist. 4. Suppose that f : [a, b] -> R. Define g on the interval a, b as g( 20) = sup { f (t) : a pf(x) = f(p), then g has limit at p. Hint: Show that for g, L(p) = U(p)

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