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Let f(z) = sin z/z
and f(0) = 0. Explain why f is analytic at z = 0. Find the Maclaurian
series for f(z) and g(z) = ∫ f(ξ)dξ from 0 to z
. Does there exist a function f with an
isolated singularity at 0 and such that |f(z)|~ exp( 1/|z|) near z= 0?