Decide whether the following proposition is true or false. Provide a justification for your answer: If (x,) is bounded and divergent, then there exists two subsequences of (x„) that converges to different limits.

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Q: (e) $₁ = 5 and Sn+1 = √√4s +1 for n ≥ 1.

A: Given s1 = 5 and sn+1 = 4sn+1 for n≥1