ABSTRACT
Consider the function f : C \ {2} → C given by f (z) = 1z−2 . By Taylor’s theorem, f has a Taylor series centered at z0 = 0 with neighborhood of convergenceN2(0). That is,
f (z) = ∞∑ j=0
f (j)(0)
j! zj on N2(0).
Consider the function f : C \ {2} → C given by f (z) = 1z−2 . By Taylor’s theorem, f has a Taylor series centered at z0 = 0 with neighborhood of convergenceN2(0). That is,
f (z) = ∞∑ j=0
f (j)(0)
j! zj on N2(0).