Asymptotic expansion
SERIES WHICH GIVES AN APPROXIMATION TO A FUNCTION AS THE ARGUMENT TENDS TO SOME POINT
Asymptotic series; Asymptotically convergent; Poincaré expansion; Asymptotic scale; Asymptotic expansions; Poincare expansion; Asymptotic growth
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point. Investigations by revealed that the divergent part of an asymptotic expansion is latently meaningful, i.