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Question: please help me solve these two questions with details thanks...

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Please help me solve these two questions with details, Thanks!
Q 5. Let (an)n be a sequence such that the subsequences (a2)n and (a2nt)n are both convergent and e t. (a) (10 marks) Prove that (an)n is convergent. (b) (5 marks) Compute the limit of the sequence (an)n (c) (5 marks) State the definition of an oscillation limit for a sequence (bn)
Q 5. (a) (5 marks) Let ()n , (Wn)n be two sequences of real numbers such that a and lan-Unl for all n 21. Prove that y, → a. (b) (3 marks) State the Bolzano Weicrstrass Theorem for sequences. (c) (5 marks) Compute the liminf and the limsup of the following sequence n+1 )21
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