Prove If {xn} converges and {Yn} diverges, then {xn + yn} diverges.
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Originally Posted by tigergirl Prove If {xn} converges and {Yn} diverges, then {xn + yn} diverges. Prove first that if $\displaystyle (x_n+y_n)_n$ converges and $\displaystyle (x_n)_n$ converges, then $\displaystyle (y_n)_n$ converges. (very simple) Then try to understand why this proves your initial claim. (you can try a proof by contradiction)
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