This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# InverseSeries

 InverseSeries[s]takes the series s, and gives a series for the inverse of the function represented by s. InverseSeries uses the variable x in the inverse series.
Find a series for the inverse function of x Sin[x]:
Find a series for the inverse function of Sin:
Find the series for the inverse of the function represented by an explicitly specified series:
Invert again to get back the original function:
Find a series for the inverse function of x Sin[x]:
 Out[1]=

Find a series for the inverse function of Sin:
 Out[1]=
 Out[2]=

Find the series for the inverse of the function represented by an explicitly specified series:
 Out[1]=
Invert again to get back the original function:
 Out[2]=
Invert a series, giving a result in terms of the variable :
 Applications   (1)
Find higher-order terms in Newton's approximation for a root of near :
Composing an inverse series with the original series gives the identity function:
New in 1