L'hopital's Rule Calculator

To evaluate the indeterminate limits of the form 0/0, input the function, select the variable, enter the side and limit in the input boxes using this L'hopital's rule calculator

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L’hopital’s rule calculator is used to find the limits of indeterminate functions. This L’hopital’s calculator provides the result of undefined functions in the form of 0/0 or ∞/∞ with steps.

What is L’hopital’s rule?

L’hopital’s rule is a theorem of limit used to evaluate the limit of indeterminate forms. The indeterminate forms are expressions of the form of 0/0, 00, 0 x (±∞), ∞ - ∞, 1, ∞0, and ∞/∞ after computing limits.

Equation of L'hopital's rule

L’hopital’s rule states that if f(x) & g(x) are differentiable functions and d/dx [g(x)] ≠ 0 on an open interval. If one of the following terms is true.

Then the L’hopital’s rule must be applied

How to evaluate limits using L’hopital’s rule?

Below is a solved example of L’hopital’s rule to evaluate limits.

Example

Solution

Step 1: Apply the limit x→∞ to the above expression.

Step 2: Apply L’hopital’s rule as it gives indeterminate form after applying the limit.