Ratio Test

Let be a Series with Positive terms and suppose

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. 282-283, 1985.

Bromwich, T. J. I'a. and MacRobert, T. M. An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, p. 28, 1991.

• Root Test
• Root (Tree)
• Rosatti's Theorem
• Rose
• Rosenbrock Methods
• Rotation
• Rotation Formula
• Rotation Group
• Rotation Matrix
• Rotation Number
• Rotation Operator
• Roth's Removal Rule
• Roth's Theorem
• Rotkiewicz Theorem
• Rotoinversion
• Rotor
• Rotunda
• Rouché's Theorem
• Roulette
• Round
• Rounding
• Routh-Hurwitz Theorem
• Routh's Theorem
• RSA Encryption
• RSA Number