Same limit as a convergent sequence implies convergency?
Suppose that {x} is a convergent sequence and {y} is such that for any e > 0 there exists M such that |x – y| < e for all n>=M. Does it follow that {y} is convergent?
Suppose that {x} is a convergent sequence and {y} is such that for any e > 0 there exists M such that |x – y| < e for all n>=M. Does it follow that {y} is convergent?