Let \(f(x) = \frac{x}{\sqrt{1 + x^2}}\)
A sequence of functions is defined by \(f^{(1)}(x) = f(x)\) and
\(f^{(n)} (x) = f(f^{(n - 1)}(x))\) for \(n \ge 2\) find \(f^{(99)}(1)\)
tyyy
f^1 (1) = 1/sqrt(2)
f^2 (1) = 1/sqrt(3)
f^3 (1) = 1/sqrt(4)
Do you see a pattern?
I hope this helped. :))
=^._.^=
+125 
