Question: [15 marks Given two positive numbers a and b such that a 1. (a) Apply the Monotonic Sequence Theorem to show that lim In and

[15 marks Given two positive numbers a and b such that a 1. (a) Apply the Monotonic Sequence Theorem to show that lim In and lim yn 7-700 exist. (b) If the two limits exist, show that lim In = lim yn- 1-+00 7-+00

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