AP Calculus Unit 1 Test prep Limits
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Mathematics
•
University
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a limit in calculus?
Back
A limit is a value that a function approaches as the input approaches some value.
2.
FLASHCARD QUESTION
Front
What does DNE stand for in the context of limits?
Back
DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.
3.
FLASHCARD QUESTION
Front
What is continuity at a point?
Back
A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.
4.
FLASHCARD QUESTION
Front
What is a removable discontinuity?
Back
A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it appropriately.
5.
FLASHCARD QUESTION
Front
What is a non-removable discontinuity?
Back
A non-removable discontinuity is a point where the function cannot be made continuous by redefining it, often due to a vertical asymptote.
6.
FLASHCARD QUESTION
Front
What is a jump discontinuity?
Back
A jump discontinuity occurs when the left-hand limit and right-hand limit at a point exist but are not equal.
7.
FLASHCARD QUESTION
Front
How do you find the limit as x approaches a value?
Back
To find the limit, substitute the value into the function if it is defined, or analyze the behavior of the function as it approaches that value.
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