 Typically, as formula_14 increases, these coefficients settle into a regular behavior determined by the nearest radius-limiting singularity.In this case, two main techniques have been developed, based on the fact that the coefficients of a Taylor series are roughly exponential with ratio formula_15 where r is the radius of convergence.A power series with a positive radius of convergence can be made into a holomorphic function by taking its argument to be a complex variable.