L'hopital's Rule Calculator
Evaluate limits of indeterminate forms (0/0 or ∞/∞) using L'Hôpital's Rule. Enter the numerator and denominator functions and the point of evaluation.
Published by:
isCalculator Editorial Team
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How to Use L'Hôpital's Rule Calculator
Compute limits of the form 0/0 or ∞/∞ quickly.
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Enter the numerator f(x) — e.g.,
Math.sin(x)orx^2 - 1. Use JavaScript math syntax. -
Enter the denominator g(x) — e.g.,
xorx - 1. -
Set the point a — the x-value you're approaching (e.g.,
0). - Choose direction — Two-sided, Right-hand, or Left-hand limit.
- Click Calculate Limit. The result and step-by-step derivation appear below.
Note: Functions must use JavaScript math (e.g., Math.sin(x), Math.exp(x), Math.log(x)). The calculator checks for indeterminate forms (0/0 or ∞/∞) and applies L'Hôpital's Rule automatically.
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Frequently Asked Questions
L'Hôpital's Rule is a method to evaluate limits of indeterminate forms like 0/0 or ∞/∞ by differentiating the numerator and denominator separately.
You can use standard JavaScript math functions like Math.sin(x), Math.cos(x), Math.exp(x), Math.log(x), etc. Use 'x' as the variable.
Direction specifies whether to approach the point from the left, right, or both sides. For two-sided limits, use 'Both'.
