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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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Solution Summary

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

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