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Exponential Formula




:f(x)=a_1 x+{a_2 \over 2}x^2+{a_3 \over 6}x^3+\cdots+{a_n \over n!}x^n+\cdots\,

we have

:\exp f(x)=e^{f(x)}=1+\sum_{n=1}^\infty {b_n \over n!}x^n,\,

where