Turtles all the way

Calculus Level 4

Consider a function f(x)f(x) that satisfies

  • f(x)=1x+1x+1...f'(x) = \dfrac{1}{x + \dfrac{1}{x + \dfrac{1}{...}}}, and
  • f(0)=0f(0) = 0.

What is all of the possible values of f(3)f(3) (to 2 decimal places)?

×

Problem Loading...

Note Loading...

Set Loading...