# Power series centered at 0

Use the power series

1 / 1+x = En=0 (-1)^n x^n

to determine the power series, centered at 0, for the function

h(x) = x / x^2-1 = 1 / 2(1+x) - 1 / 2(1-x)

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:43 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/power-series-centered-7740

#### Solution Summary

A power series is determined. The functions centered at zero are found.

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