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Unit 1: Limits and Continuity

AP Calculus BC — Note Packet

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Key Terms

Limit

The y-value a function ________ to reach as its x-value gets infinitely, infinitesimally close to a specific number.

Two-sided Limit

For a two-sided limit to EXIST, both the left-hand and right-hand limits MUST exist AND they MUST be ________.

Indeterminate Forms

Expressions like 0/0 or infinity/infinity that signal ________ work needs to be done to find a limit.

Squeeze Theorem

If a function is 'squeezed' between two other functions that approach the same limit, then the middle function ________ also approach that same limit.

L'Hôpital's Rule

A method for evaluating limits of indeterminate forms by taking the derivative of the numerator and the ________ separately.

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