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benya7thmix
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this is a problem from a sample test in my "Introduction to Real Analysis" class. i don't know how to even start thinking about this one. any hints?
Let f, g : R ! R be continuous at c, and let h(x) = max{f(x), g(x)}.
(a) Show that h(x) = (1/2) (f(x) + g(x)) + (1/2) |f(x) − g(x)| for all x in R.
(b) Show that h(x) is continuous at c.
thanks to all posters
Let f, g : R ! R be continuous at c, and let h(x) = max{f(x), g(x)}.
(a) Show that h(x) = (1/2) (f(x) + g(x)) + (1/2) |f(x) − g(x)| for all x in R.
(b) Show that h(x) is continuous at c.
thanks to all posters