4. (a) First prove that infk>n Xk +infk>n Yk ~ infk>n(xk +Yk). (c) By (b), the first...
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4.
(a) First prove that infk>n Xk +infk>n Yk ~ infk>n(xk +Yk).
(c) By (b), the first and final inequalities ca;;- only be st~ict if neithe~ {xn} nor {Yn} converges.
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