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  3. 4 a determine with justification whether the sequence 3n 3n...

Question: 4 a determine with justification whether the sequence 3n 3n...

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4) (a) Determine, with justification, whether the sequence 3n (3n)! 8 marks) (b) Let ε > 0. Determine N, such that the sequence an = (-1)nn-2 satisfies 8 marks) (c) Define the limit of a sequence (an) of real numbers. Does the sequence in part is increasing or decreasing. lanl < ε for all n > Ne. (b) have a limit? Justify your answer. [4 marks)
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