Question

$li{m}_{\pi \to \infty }{\sum }_{r=1}^n\frac{1}{n}{e}^{\frac{r}{n}}is$ [AIEEE 2004]

• A.
• B.
• C.
• D. e

Answer 1

The correct option is B

$li{m}_{\pi \to \infty }{\sum }_{r=1}^n\frac{1}{n}{e}^{\frac{r}{n}}={\int }_0^1{e}^{x}dx=[e^x{]}_0^1=e-1$