2. Prove that if f: D R is continuous at xo E D, then f|:...

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2. Prove that if f: D → R is continuous at xo E D, then f|: D - R, defined by |f|(x) = |f(x)|, is continuous at xo. Hint: Consider a judicious application of the reverse triangle inequality. 2. Prove that if f: D → R is continuous at xo E D, then f|: D - R, defined by |f|(x) = |f(x)|, is continuous at xo. Hint: Consider a judicious application of the reverse triangle inequality.

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