Use the e – 8 definition of continuity to prove that each of the following functions is continuous on its domain. One key component in each solution is the estimation of the quantity |f(x) – f(c)| using various inequalities and identities. (a) f : R → R, f (x) = |¤|. (b) g: (0, 0) –→ R, g(x) = Vx.

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