L'Hôpital's Rule
Definition
L'Hôpital's Rule is a method used to evaluate limits of indeterminate forms, such as 0/0 or ∞/∞. It involves taking the derivative of the numerator and denominator separately and then evaluating the limit again.
Analogy
Think of L'Hôpital's Rule as a "get out of jail free" card for limits. Just like in Monopoly, when you're stuck in an indeterminate form, you can use this rule to escape and find the actual value of the limit.
Related terms
Indeterminate Form: An expression that does not have a definite value when evaluated directly.
Derivative: The rate at which a function is changing at any given point.
Limit: The value that a function approaches as its input approaches a certain value or infinity.
"L'Hôpital's Rule" appears in:
Study guides (1)
Practice Questions (14)
Which representation of limits may involve using approximation techniques such as L'Hôpital's rule?
What is L'Hôpital's Rule used for?
Can L'Hôpital's Rule replace the quotient rule?
When can L'Hôpital's Rule be applied?
What should be shown when applying L'Hôpital's Rule in a solution?
What is the purpose of L'Hôpital's Rule?
When can L'Hôpital's Rule not be applied?
What is the key requirement for applying L'Hôpital's Rule?
What is the relationship between L'Hôpital's Rule and derivatives?
Is L'Hôpital's Rule applicable to limits at finite values?
What type of problems can L'Hôpital's Rule solve?
What is the notation used to represent L'Hôpital's Rule?
Can L'Hôpital's Rule be applied to limits involving trigonometric functions?
Is L'Hôpital's Rule valid for finding limits at infinity?
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