Interesting Limit (21)

Calculus Level 3

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

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


Resource: AMSS Summer Camp 2017.

×

Problem Loading...

Note Loading...

Set Loading...