TIFR-2019-Maths-A: 2

Question

For $n\geq 1$, the sequence $\left \{ x_{n} \right \}^{\infty }_{n=1},$ where:

$$x_{n}=1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}}-2\sqrt{n}$$

is

• A. decreasing
• B. increasing
• C. constant
• D. oscillating