Given that (x sub n) is a sequence of real numbers, that x > 0, and that (x sub n) approaches x as n approaches infinity, prove that there exists an integer N such that the inequality x > 0 holds for all integers n greater than or equal to N.

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- March 4th 2010, 08:10 PMSlazenger3Limit proof
Given that (x sub n) is a sequence of real numbers, that x > 0, and that (x sub n) approaches x as n approaches infinity, prove that there exists an integer N such that the inequality x > 0 holds for all integers n greater than or equal to N.

- March 4th 2010, 08:13 PMDrexel28