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Mar16-12, 05:47 AM   #3
 
I understand that, but the teacher asks me to prove that. Since we previously proved uniqueness of a limit, I'm thinking we can just expand it to apply to divergent sequences.

Tends toward is to say that after a certain natural number K, any n>=K implies that Xn > a FOR ALL a in R--this is the definition of tends toward infinity. It ultimately heads toward infinity.