Math 2.0

Functions of a complex variable Concept

Radius of convergence

Summary

Each power series with center cc has a unique RR in [0,∞][0, \infty] such that it converges for ∣x−c∣<R|x - c| < R and diverges for ∣x−c∣>R|x - c| > R. This RR is its radius of convergence. The node radius of convergence gives the precise definition.

Where this leads

7 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Radius_of_convergence, lead section
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