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- cidyahLv 74 years agoFavorite Answer
Taylor series about x=0
f(x) = e^(x+4)
f(0) = e^4
f'(x) = e^(x+4)
f'(0) = e^4
f''(x) = e^(x+4)
f''(0) = e^4
f(x) = f(0) + x f'(0) + x^2 f''(0) / 2! + x^3 f'''(0) /3! + ....
f(x) = e^4 + x e^4 + x^2 e^4 / 2! + .....
= e^4 ( 1+ x + x^2 / 2! + x^3 / 3! + x^4 / 4! + .......)
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