# Algebra: Taylor series of ln(1+x)

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

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