__Exponential Series :__

f(x) = e^x => f(0) = e^0 = 1

f '(x) = e^x => f''(0) = e^0 = 1

f ''(x) = e^x => f ''(0) = e^0 = 1

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f (n)(x) = e^x => f(n)(0) = e^0 =1

Hence,

**e^x = 1+ x + (x^2)/2! + (x^3)/3! +...+(x^n)/n! .... for all value of x.**

**there are more.....**

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