Suppose that and are of bounded variation on a closed interval a, b) a) Prove that is of bounded variation on a, b for every a R b) Prove that is of bounded variation on a, b c) If there is an 0 0 such that prove that 1 is of bounded variation on a, b (x) eo, x E a, b

Question: Suppose that and are of bounded variation on a closed interval [a, b). a) Prove that is of bounded variation on [a,

Suppose that Ï• and Ïˆ are of bounded variation on a closed interval [a, b).
a) Prove that Î±Ï• is of bounded variation on [a, b] for every a ˆˆ R.
b) Prove that Ï•Ïˆ is of bounded variation on [a, b].
c) If there is an Îµ0 > 0 such that

prove that 1/Ï• is of bounded variation on [a, b].

(x) eo, x E [a, b].

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