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Question Number 62206 by maxmathsup by imad last updated on 17/Jun/19 | ||
$${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}\geqslant\mathrm{0}} \:\left(−\mathrm{1}\right)^{{n}} \left\{\left[\sqrt{{n}^{\mathrm{2}} +\mathrm{2}}\right]−\left[\sqrt{{n}^{\mathrm{2}} \:+\mathrm{1}}\right]\right) \\ $$ | ||