Apply L'Hôpital's rule numerically to evaluate 0/0 or ∞/∞ indeterminate limits.
L'Hôpital's rule states that for 0/0 or ∞/∞ indeterminate forms: lim f(x)/g(x) = lim f'(x)/g'(x), provided the latter limit exists. This calculator applies the rule numerically by computing derivatives via central differences. It can apply the rule up to 5 times for persistent indeterminate forms.
L'Hôpital's rule
lim(x→a) f(x)/g(x) = lim(x→a) f'(x)/g'(x) when f(a)/g(a) is 0/0 or ∞/∞
Only when the limit gives an indeterminate form: 0/0 or ∞/∞. For other forms like 0·∞ or 1^∞, algebraic manipulation is needed first.
Some limits require algebraic simplification or other techniques. The calculator falls back to direct numerical evaluation near the point.