Hello there Maple geniuses!

So I've been banging my head against these two problems for days and I was wondering if any of you had any idea how to proceed.

The first involves computing the limit of a series. The problem reads as follows:

"For large n, the sequence defined by

x₁ = 2.30

x_n = 9 * sqrt(x_n-1+ 6)

approaches a limit. Find that limit correct to 15 significant figures, and then select the correct answer below."