A) 2
B) 3
C) 4
D) 5
Correct Answer: C
Solution :
\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{1}{n}\left( {{\left( \frac{1}{n} \right)}^{a}}+{{\left( \frac{2}{n} \right)}^{a}}+....+{{\left( \frac{n}{n} \right)}^{a}} \right)\] \[\underset{x\to \infty }{\mathop{\lim }}\,\frac{1}{n}\sum\limits_{r=1}^{n}{{{\left( \frac{r}{n} \right)}^{a}}}\]\[\int\limits_{0}^{1}{{{x}^{a}}dx=\frac{1}{a+1}=\frac{1}{5}}\]\[a=4\] ans.
You need to login to perform this action.
You will be redirected in
3 sec
