Definite-Integration Question 503
Question: $ \underset{n\to \infty }{\mathop{\lim }},\sum\limits_{r=1}^{n}{\frac{1}{n}{e^{\frac{r}{n}}}} $ is
[AIEEE 2004]
Options:
A) $ e+1 $
B) $ e-1 $
C) $ 1-e $
D) $ e $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{n\to \infty }{\mathop{\lim }},\sum\limits_{r=1}^{n}{\frac{1}{n}{e^{\frac{r}{n}}}=\int_0^{1}{e^{x}dx=[e^{x}]_0^{1}=e-1}} $ .
BETA
