# [Solved] show function approaches certain value

riven Asks: show function approaches certain value
the following is my code for to solve this question :

Show that as n increases (e.g. with a doubling experiment), from n = 2 to n = 1,000, the value of “day_sim ” approaches “sqrt(pi * n / 2)”.

I have set the “day_sim ” function, but don’t know how to start the quoted question of “show that is approaches “sqrt(pi * n / 2)”

Code:
``````import random
from random import randint
import numpy as np

def randomgen(n):
np.random.randint(low = 0, high = n)
return random.randint(0,n-1)

randomgen(100)

def day(n):
result = []
random = randomgen(n)
count =0
while random not in result:
result.append(random)
random = randomgen(n)
count += 1
return count
day(100)

def day_sim(n):
n_trials = 10000
day_sim = [birthday(n) for _ in range(n_trials)]
return day_sim

day_sim(N)``````

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