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单词 Root Test
释义

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.

This test is also called the Cauchy Root Test.

See also Convergence Tests


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.


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