What is a limit in calculus?
Per 1 Limits Graphically & Piecewise

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A limit is a value that a function approaches as the input approaches some value.
2.
FLASHCARD QUESTION
Front
What does it mean for a limit to exist?
Back
A limit exists if the function approaches the same value from both the left and right sides as the input approaches a certain point.
3.
FLASHCARD QUESTION
Front
What is a one-sided limit?
Back
A one-sided limit is the value that a function approaches as the input approaches a certain point from one side only (either left or right).
4.
FLASHCARD QUESTION
Front
How do you denote the limit of f(x) as x approaches a from the left?
Back
It is denoted as lim (x -> a-) f(x).
5.
FLASHCARD QUESTION
Front
How do you denote the limit of f(x) as x approaches a from the right?
Back
It is denoted as lim (x -> a+) f(x).
6.
FLASHCARD QUESTION
Front
What is the limit of f(x) as x approaches 1 from the right if f(x) = { -2 for x > 1 }?
Back
The limit is -2.
7.
FLASHCARD QUESTION
Front
What is the limit of f(x) as x approaches 1 from the left if f(x) = { 4 for x < 1 }?
Back
The limit is 4.
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