Let xnn ge 1 be a sequence defined as xn = 1 + 1/sqrt2 + 1/sqrt3 + cdots + 1/sqrtn - 2(sqrtn - 1). Then which of the following options is/are correct?

Q47Section ST (Statistics (Q11–Q65))47 of 65

Convergence of a harmonic-type sequence

Let $\{x_n\}_{n \ge 1}$ be a sequence defined as $x_n = 1 + \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \cdots + \frac{1}{\sqrt{n}} - 2(\sqrt{n} - 1)$ . Then which of the following options is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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