(b) Evaluate the limit of the following sequences: 2 + 5n+1 i. an = V3 +...

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(b) Evaluate the limit of the following sequences: 2" + 5n+1 i. an = V3 + 7", n E N. ii. an = [15 marks) 2n – 5n (c) Determine if the sequence an = - Inn is monotone increasing or decreasing. Hence or otherwise, find the limit of an as n → 0. [15 marks] (b) Evaluate the limit of the following sequences: 2" + 5n+1 i. an = V3 + 7", n E N. ii. an = [15 marks) 2n – 5n (c) Determine if the sequence an = - Inn is monotone increasing or decreasing. Hence or otherwise, find the limit of an as n → 0. [15 marks]