Question: Exercise 1.1 Show that the sequence {a n } defined by (1.1) is strictly increasing in n and that {b n } defined by (1.2)
Exercise 1.1 Show that the sequence {an} defined by (1.1) is strictly increasing in n and that {bn} defined by (1.2) is strictly decreasing. Hint: Use the inequalities (1 − x)n > 1 − nx, 0 < x < 1, and (1 + x)n > 1 + nx, x > 0, for n ≥ 2.
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