Question Number 62206 by maxmathsup by imad last updated on 17/Jun/19
![study the convergence of Σ_(n≥0) (−1)^n {[(√(n^2 +2))]−[(√(n^2 +1))])](https://www.tinkutara.com/question/Q62206.png)
$${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}\geqslant\mathrm{0}} \:\left(−\mathrm{1}\right)^{{n}} \left\{\left[\sqrt{{n}^{\mathrm{2}} +\mathrm{2}}\right]−\left[\sqrt{{n}^{\mathrm{2}} \:+\mathrm{1}}\right]\right) \\ $$