Let f, g be real functions j and for each x Dom (f) Dom (g)
Question:
(f ‹ g)(x) :=max{f(x),g(x)} and (f ‹€ g)(x) := mm{f (x), g(x)}.
a) Prove that
and
for all x ˆŠ Dom (f) ˆ© Dom (g).
b) Prove that if
exist, then (f ‹ g)(x) †’ L ‹ M and (f ‹€ g)(x) †’ L ‹€ M as x †’ a.
Transcribed Image Text:
(f g)(x) = 2 L= limf.(x) and M= ling(x) x→a
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a By symmetry it suffices to show the first identity Case 1 fx gx Then f V gx f...View the full answer
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