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gurjot kaur gurjot kaur
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4 years ago
 Let f be a real function and let p ∈ Df. A function |f| is defined by the formula |f|(x) = |f(x)|.
(a) Prove that if f is continuous at p, then |f| is continuous at p.
(b) Show that |f| may be continuous at p when f is discontinuous at p.
(c) Prove that if f(p) = 0 and |f| is continuous at p, then f is continuous at p.
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