Special Trig Limits and Continuity
Flashcard
•
Mathematics
•
University - Professional Development
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a jump discontinuity?
Back
A jump discontinuity occurs when the left-hand limit and right-hand limit of a function at a certain point exist but are not equal. This results in a 'jump' in the graph of the function.
2.
FLASHCARD QUESTION
Front
Define left-hand limit.
Back
The left-hand limit of a function at a point is the value that the function approaches as the input approaches that point from the left side.
3.
FLASHCARD QUESTION
Front
Define right-hand limit.
Back
The right-hand limit of a function at a point is the value that the function approaches as the input approaches that point from the right side.
4.
FLASHCARD QUESTION
Front
What does it mean if a limit is undefined?
Back
A limit is undefined if the function does not approach a specific value as the input approaches a certain point, often due to discontinuities or oscillations.
5.
FLASHCARD QUESTION
Front
What is the limit notation for approaching from the left?
Back
6.
FLASHCARD QUESTION
Front
What is the limit notation for approaching from the right?
Back
7.
FLASHCARD QUESTION
Front
Back
A jump discontinuity at x = 1.
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