Limits to Infinity HW #1
Flashcard
•
Mathematics
•
12th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
Define the limit of a function as x approaches infinity.
Back
The limit of a function as x approaches infinity describes the behavior of the function as the input values grow larger and larger. It indicates the value that the function approaches as x increases without bound.
2.
FLASHCARD QUESTION
Front
Back
2
3.
FLASHCARD QUESTION
Front
Back
-6
4.
FLASHCARD QUESTION
Front
Back
-2
5.
FLASHCARD QUESTION
Front
Back
0
6.
FLASHCARD QUESTION
Front
Explain the concept of Dominant Terms in limits to infinity.
Back
In limits to infinity, the dominant term is the term with the highest degree in the numerator or denominator. As x approaches infinity, the behavior of the function is primarily determined by these dominant terms.
7.
FLASHCARD QUESTION
Front
What happens to the limit of a rational function if the degree of the numerator is less than the degree of the denominator?
Back
If the degree of the numerator is less than the degree of the denominator, the limit as x approaches infinity is 0.
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