Let cn = 1 n + 1 n + 1 + 1 n + 2 ++ 1 2n . (a) Calculate c1, c2, c3, c4. (b) Use a

Chapter 10, Problem 88

(choose chapter or problem)

Let cn = 1 n + 1 n + 1 + 1 n + 2 ++ 1 2n . (a) Calculate c1, c2, c3, c4. (b) Use a comparison of rectangles with the area under y = x1 over the interval [n, 2n] to prove that 2n n dx x + 1 2n cn 2n n dx x + 1 n (c) Use the Squeeze Theorem to determine lim n cn.

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