Let (x,) and (yn) be bounded sequences of real numbers. Consider the sequence (z,) given by...
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Let (x,) and (yn) be bounded sequences of real numbers. Consider the sequence (z,) given by Zn = max(x, Yn) for all n E N. Prove that lim sup z, = max ( lim sup x, lim sup y,). Let (x,) and (yn) be bounded sequences of real numbers. Consider the sequence (z,) given by Zn = max(x, Yn) for all n E N. Prove that lim sup z, = max ( lim sup x, lim sup y,).
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