Where did the exponentials come from?

Calculus Level 4

$\lim _{ n\to \infty }{ \dfrac { 1 }{ n } } \sqrt [ n ]{ \prod _{ k=1 }^{ n }{ (n+k) } } = \, ?$

4e

\sqrt { e }

\frac { e }{ 3 }

\frac { 4 }{ e }

1 solution

Ankith A Das
Mar 28, 2017

Where does the term $\frac{1}{n}$ go when changing summation to integral ?

Vishal Yadav - 4 years, 2 months ago

In the Riemann sum, we have a limit as $n \to \infty$ of $\dfrac{1}{n}$ . This term becomes the differential, $dx$ , in the integral.

Akeel Howell - 4 years, 1 month ago