AP Calculus AB Review: Limits

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

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What does it mean for a limit to exist?

Back

A limit exists if the function approaches a specific value as the input approaches a certain point from both the left and right.

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What is the limit at infinity?

Back

The limit at infinity refers to the behavior of a function as the input grows without bound.

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How do you find the limit of a polynomial function as x approaches a number?

Back

Substitute the number directly into the polynomial function.

Tags

CCSS.HSF.IF.A.2

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if a function is squeezed between two other functions that have the same limit at a point, then the squeezed function also has that limit.

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.

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What is the limit of a rational function as x approaches a value that makes the denominator zero?

Back

The limit may be infinite or may not exist (DNE) depending on the behavior of the function near that point.

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What is L'Hôpital's Rule?

Back

L'Hôpital's Rule is a method for finding limits of indeterminate forms by taking the derivative of the numerator and denominator.

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What does DNE stand for in limits?

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DNE stands for 'Does Not Exist', indicating that the limit does not approach a specific value.

Front

How do you evaluate limits using substitution?

Back

To evaluate limits using substitution, replace the variable in the function with the value that x is approaching.

Tags

CCSS.HSF.IF.A.2