# A Combinatorial Geometric Mean

Calculus Level 5

Let $$G_n$$ be the geometric mean of the following $$n+1$$ combinations:

$\displaystyle\binom{n}{0},\binom{n}{1},\binom{n}{2},\ldots,\binom{n}{n} .$

Find $$\displaystyle \lim_{n\to \infty}\sqrt[n]{G_n}$$.

Give your answer to 3 decimal places.

×

Problem Loading...

Note Loading...

Set Loading...