Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Elementary Set Theory
Let b > 0 is a real number and let r ∈ ℕ then the value of
\(\displaystyle\lim _{n \rightarrow \infty} \frac{\left(b+\frac{1}{n}\right)^n\left(b+\frac{2}{n}\right)^n \ldots \ldots\left(b+\frac{r}{n}\right)^n}{b^{n r}}\)
1
0
2
\(e^{\frac{r(r+1)}{2 b}}\)
3
1
4
\(e^{\frac{b(r+1)}{2 r}}\)
5
Question Not Attempted