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.

Printable View

- March 4th 2010, 09:10 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, 09:13 PMDrexel28