Can We Apply AM-GM?
Calculus
Level
4
\[\large \displaystyle \lim_{n \to \infty} \dfrac {A_n}{G_n}\]
Let \(a_1, a_2, \ldots, a_n\) be an arithmetic progression composed solely of distinct positive reals.
Also, let \(A_n\) denote its arithmetic mean and \(G_n\) denote its geometric mean.
What is the value of the above limit to 3 decimal places?
If you think the limit doesn't exist, write -13.37 as your answer.
by
Sharky Kesa