[Solved] How can I use the method init in this function [closed]

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You can use the previous numerator to compute a numerator. Using this, you can do:

from math import sqrt

def pi_approx(n):
    V = 1
    numerator = 0
    for _ in range(n):
        numerator = sqrt(2 + numerator)
        V *= numerator / 2
    return 2 / V

print(pi_approx(1000000)) # 3.141592653589794

But as trincot points out, note that the result is governed by float point precision; i.e., difference between the output and math.pi is not quite meaningful.

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solved How can I use the method init in this function [closed]