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Question Number 107284 by mathmax by abdo last updated on 09/Aug/20
find lim_(nā†’+āˆž) Ī£_(k=1) ^n  (1/( (āˆš((k+n)(k+n+1)))))
$$\mathrm{find}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\:\sqrt{\left(\mathrm{k}+\mathrm{n}\right)\left(\mathrm{k}+\mathrm{n}+\mathrm{1}\right)}} \\ $$

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