Limits
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Mathematics
•
11th Grade - University
•
Hard
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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
How do you denote the limit of a function f(x) as x approaches a?
Back
It is denoted as lim (x -> a) f(x).
3.
FLASHCARD QUESTION
Front
What is the limit of a constant function?
Back
The limit of a constant function is the constant itself.
4.
FLASHCARD QUESTION
Front
What is the limit of f(x) as x approaches infinity for a rational function?
Back
It depends on the degrees of the numerator and denominator.
5.
FLASHCARD QUESTION
Front
What is the Squeeze Theorem?
Back
The Squeeze Theorem states that if f(x) is squeezed between g(x) and h(x) and both g(x) and h(x) approach L as x approaches a, then f(x) also approaches L.
6.
FLASHCARD QUESTION
Front
What is the limit of sin(x)/x as x approaches 0?
Back
The limit is 1.
7.
FLASHCARD QUESTION
Front
What is the difference between one-sided limits and two-sided limits?
Back
One-sided limits consider the approach from one direction (left or right), while two-sided limits consider both directions.
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