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Question Number 106237 by Study last updated on 03/Aug/20

Answered by Dwaipayan Shikari last updated on 03/Aug/20

(1/n)lim_(n→∞) (e^(1/n) +e^(2/n) +....+e^(n/n) )  (1/n)lim_(n→∞) Σ_(r=1) ^n e^(r/n)   ∫_0 ^1 e^x dx=e−1

$$\frac{\mathrm{1}}{{n}}\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left({e}^{\frac{\mathrm{1}}{{n}}} +{e}^{\frac{\mathrm{2}}{{n}}} +....+{e}^{\frac{{n}}{{n}}} \right) \\ $$$$\frac{\mathrm{1}}{{n}}\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{e}^{\frac{{r}}{{n}}} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} {e}^{{x}} {dx}={e}−\mathrm{1} \\ $$

Commented by mohammad17 last updated on 03/Aug/20

can you exactily ghis sir ?

$${can}\:{you}\:{exactily}\:{ghis}\:{sir}\:? \\ $$

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