Question: Suppose that f C(-, ) and that for all a R. Prove that f is analytic on (-, ) and lim|/ x f(n+ ) (a-x)

Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that

Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that
for all a

for all a ˆˆ R. Prove that f is analytic on (-ˆž, ˆž) and

Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that
for all a

lim|/ x" f(n+ ) (a-x) dx = 0 -00 f(x) = ((k)(0) r ER K! 0

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