This l’Hôpital’s Rule Calculator helps you solve limits that result in indeterminate forms, providing step-by-step solutions.
L’Hopital’s Rule Calculator
How to use: Enter functions for both numerator and denominator in terms of x (as it approaches a point c which you also have to specify) and press the “Calculate” button.
Explanation and Limitations: This calculator uses L’Hopital’s Rule, which is a method for finding limits of functions when direct substitution results in an indeterminate form like 0/0 or ∞/∞. It computes the derivative of the numerator and the derivative of the denominator and then finds their limit as x approaches c. This is repeated until a determinate form is obtained or until the process no longer yields a 0/0 or ∞/∞ form.
Limitations: This tool can only be used for functions that are differentiable near the point c and for indeterminate forms of 0/0 or ∞/∞. Also, it doesn’t support implicit differentiation, and results depend on the correct input format.