Hospital Rule (某法则求 0:0 或 ∞:∞ 极限)
When you encounter some limitation formulas after giving approaching x
seems like or , you can get its molecular and denominator's first derivative partly, then do this process again and again until you get some limitation value that not seems like or
formula = a fractional limitation formula
molecular, denominator = split_fraction(formula)
while True:
i = 0
molecular_limitation_value = get_limitation_value(molecular)
denominator_limitation_value = get_limitation_value(denominator)
if '{m}:{d}'.format(m=molecular_limitation, d=denominator) in ['0:0', '∞:∞']:
molecular = take_first_derivative(molecular)
denominator = take_first_derivative(denominator)
i += 1
else:
return molecular_limitation_value / denominator_limitation_value
if i > 999:
print("You can't use hospital rule in this formula.")