lim-x-k-1-n-3-1-k-2-n-3-1-

Tinku Tara June 4, 2023 Limits 0 Comments

Question Number 183528 by universe last updated on 26/Dec/22

lim_(x→∞) Σ_(k=1) ^n ( 3(√(1+(k^2 /n^3 ))) −1) = ?

$$\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\:\mathrm{3}\sqrt{\mathrm{1}+\frac{\mathrm{k}^{\mathrm{2}} }{\mathrm{n}^{\mathrm{3}} }}\:−\mathrm{1}\right)\:\:=\:\:\:? \\ $$

Commented by TANMAY PANACEA last updated on 26/Dec/22