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Let (x_n) be a convergent sequence, and let a,b R.
Show that for all n, x_n>a ned not imply limx_n>a.
How do I show this when I have previously proven that If x_n>= a for all n, then lim x_n>=a. (this was another question that i had proven before hand) But how would I show it, when it contradicts the previously stated question.