Exponent vs polynomial

complexity_demo.py

def get_exponent_func(k):
    def exponent(n):
        return k ** n
    return exponent

def get_poly_func(k):
    def poly(n):
        return n ** k
    return poly
    
polyn = get_poly_func(2)
expon = get_exponent_func(1.01)

for i in range(1,101):
    print(f'polynomial: {polyn(i)}\nexponent: {expon(i)}')
    
## BUT!
    
i = 2
while True:
    if expon(i) > polyn(i):
        print(f'Exponent wins at i = {i}')
        break
    i += 1