Exploring Types of Discontinuities
Study Guide Overview
This guide covers discontinuities in AP Calculus AB/BC, including removable (holes), jump, and asymptote discontinuities. It explains how to identify each type, focusing on limits and piecewise functions. Examples, practice questions, and exam tips are provided to help prepare for the AP exam.
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Question 1 of 8
For a function to be continuous at a point, which of the following conditions MUST be true? 🤔
The function must be defined at that point, and the limit must exist
The function must be defined at that point, and the left-hand limit must equal the right-hand limit
The function must be defined at the point, the limit must exist at the point, and the limit must equal the function's value at that point
The function must be differentiable at that point