L'Hopital's Rule

Definition

L'Hopital's Rule is a method used to evaluate limits of indeterminate forms, such as 0/0 or ∞/∞. It states that if the limit of the ratio of two functions is an indeterminate form, then taking the derivative of both functions and evaluating the limit again can help determine the original limit.

Related terms

Quotient Rule:

The Quotient Rule is a differentiation rule used to find the derivative of a quotient of two functions. It states that to find this derivative, you need to subtract the product of the derivative of the numerator and denominator from the product of the numerator and derivative of the denominator, all divided by (denominator)^2.

Chain Rule:

The Chain Rule is a differentiation rule used when finding derivatives of composite functions. It states that if y = f(g(x)), where g(x) is inside f(x), then dy/dx = f'(g(x)) * g'(x). In other words, it helps us differentiate nested functions.

Limit:

A limit is a fundamental concept in calculus that describes what happens as x approaches a certain value. It determines whether a function approaches a specific value or becomes infinite as x gets closer and closer to that particular value.