Can anyone help?

Question

the following recursion is out of my mind

x,n=int(input('Enter any number (except 0)')),100
for y in range(n):
x=(2*x+1)/x
print(x)

the output nearly equates √2+1.
increasing n approaches the value more and more.

Answer 1

It's one of the solutions to the quadratic equation applied to this formula.

If this is mostly a math question, https://math.stackexchange.com may be a good resource. Otherwise, you may catch more people if it looks more like a programming problem :)