Root Test

Let be a Series with Positive terms, and let

1. If , the Series Converges.

2. If or , the Series Diverges.

3. If , the Series may Converge or Diverge.

References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 281-282, 1985.

Bromwich, T. J. I'a and MacRobert, T. M. An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, pp. 31-39, 1991.

• Gaussian Joint Variable Theorem
• Gaussian Mountain Range
• Gaussian Multivariate Distribution
• Gaussian Polynomial
• Gaussian Prime
• Gaussian Quadrature
• Gaussian Sum
• Gauss-Jacobi Mechanical Quadrature
• Gauss-Jordan Elimination
• Gauss-Kummer Series
• Gauss-Kuzmin-Wirsing Constant
• Gauss-Laguerre Quadrature
• Gauss-Manin Connection
• Gauss Map
• Gauss Measure
• Gauss Multiplication Formula
• Gauss Plane
• Gauss-Salamin Formula
• Gauss's Backward Formula
• Gauss's Circle Problem
• Gauss's Class Number Conjecture
• Gauss's Class Number Problem
• Gauss's Constant
• Gauss's Criterion
• Gauss's Double Point Theorem