Show that if f has a power series representation (expansion) at a, that is, if f(x)=EG, (x-a)" = c, +G (x-a)+c,(x-a) +c, (x-a)'+.. n=0 or x-a< R, then its coefficients are given by the formula orit zordioriw orrianotob ot teoT lon orit eal %3D n! "his series is called a Taylor series (ifa=0 it is called a Maclaurin series).

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