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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
InverseSeries
InverseSeries[s]
takes the series s, and gives a series for the inverse of the function represented by s.
InverseSeries[s, x]
uses the variable x in the inverse series.
DetailsDetails
- InverseSeries performs "reversion" of series.
- Given a series
, InverseSeries[s, x] gives a series for
such that
. - InverseSeries can be applied to any SeriesData object with the appropriate structure, whether or not it has been generated by Series.
ExamplesExamplesopen allclose all
Basic Examples (3)Basic Examples (3)
Find a series for the inverse function of x Sin[x]:
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Find a series for the inverse function of Sin[x]:
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Find the series for the inverse of the function represented by an explicitly specified series:
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Invert again to get back the original function:
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