Please help me solve the following concerning limsup and liminf of sequences. 1

Please help me solve the following concerning limsup and liminf of sequences.
1. Let (an)?and (bn).21 be bounded real sequences and let (Cn).1 be thesequencea1, b1, @2, 62, . .Prove thatlim sup Cn < max(lim sup an, lim sup bn)n-toon-toon-tooand that if (an) 1 and (bn)?-1 converge to y then so does (Cn)?21.

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