Interesting Limit (21)

Calculus Level 3

Let \(A_n\) and \(G_n\) denote the arithmetic mean and geometric mean of \(\dbinom n0,\dbinom n1, \dbinom n2, \dots,\dbinom nn\) respectively.

Find \(\displaystyle\lim_{n\to\infty} \sqrt[n]{\frac{G_n}{A_n}}\).


Resource: AMSS Summer Camp 2017.

×

Problem Loading...

Note Loading...

Set Loading...