Consider the sequence given by an = 1 + 1 2 + 1 3 + 1 n ln(n + 1). (a) Show that an <

Chapter 9, Problem 48

(choose chapter or problem)

Consider the sequence given by an = 1 + 1 2 + 1 3 + 1 n ln(n + 1). (a) Show that an < an+1 for all n. [Use a left-sum approximation to - n+1 1 (1/x) dx with x = 1.]

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