1.

Let xn =\(1 + \frac{1}{2}\; + \frac{1}{3} + \ldots \ldots \ldots ..\; + \frac{1}{N}\;\;\;\)That means, \({x_1} = 1,{x_2} = 1 + \frac{1}{2},{x_3} = 1 + \frac{1}{2} + \frac{1}{3}\) and so on. Then which of the following statements is true?

A. 1≤ xn ≤ 2, for every n,
B. For any integer M, there is an n such that xn ≥ M.
C. There is an integer m such that xn + 1 < xn for some n ≥ m
D. For any positive integer m, there is no n such that xn + 1 - xn < 10-m
Answer» C. There is an integer m such that xn + 1 < xn for some n ≥ m


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