Editing Lagrange inversion theorem (section)

==Example==
For instance, the algebraic equation of degree {{mvar|p}}
:<math> x^p - x + z= 0</math>
can be solved for {{mvar|x}} by means of the Lagrange inversion formula for the function {{math|1=''f''(''x'') = ''x'' − ''x''<sup>''p''</sup>}},  resulting in a formal series solution

:<math> x = \sum_{k=0}^\infty \binom{pk}{k} \frac{z^{(p-1)k+1} }{(p-1)k+1} . </math>

By convergence tests, this series is in fact convergent for <math>|z| \leq (p-1)p^{-p/(p-1)},</math> which is also the largest disk in which a local inverse to {{mvar|f}} can be defined.