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    Algebra: Taylor series of ln(1+x)

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    The following series is developed in calculus:
    ln (l + x) = x - (x^2/2) + (x^3/3) - (x^4/4) + . . .

    Over what range of values for x can this series be used to calculate ln(l + x)?

    (1) For all values of x
    (2) - l < x <= l
    (3) - l <= x <= l
    (4) - infinity < x <= l
    (5) |x| > l

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    https://brainmass.com/math/real-analysis/algebra-taylor-series-510923

    Solution Preview

    The following series is developed in calculus:
    ln (l + x) = x - (x^2/2) + (x^3/3) - (x^4/4) + . . .

    Over what ...

    Solution Summary

    Expanding ln(1+x) using Taylor series and find the range of x.

    $2.19