(20 points) Let (In) and (yn) be bounded sequences of real numbers. Prove that lim(In) + lim(yn)
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(20 points) Let (In) and (yn) be bounded sequences of real numbers. Prove that lim(In) + lim(yn)
(20 points) Let (In) and (yn) be bounded sequences of real numbers. Prove that lim(In) + lim(yn) <lim(In + yn). Give an example to show that the above inequality can be strict.
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