Let xn := nl/n for n EN. (a) Show that xn+1< xn if and only if (1 + l/n)n < n, and infer
Chapter 3, Problem 6(choose chapter or problem)
Let xn := nl/n for n EN. (a) Show that xn+1< xn if and only if (1 + l/n)n < n, and infer that the inequality is valid for n 2: 3. (See Example 3.3.6.) Conclude that (xn) is ultimately decreasing and that x := lim(x n) exists.
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