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Lv 6
? asked in Science & MathematicsMathematics · 4 years ago

THE EXPANSION OF e power x+4?

1 Answer

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  • cidyah
    Lv 7
    4 years ago
    Favorite 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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