What is the primary focus when taking the limit of a function as x approaches a finite value?

Understanding Limits at Infinity

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1st Grade - University
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function's integral
The function's behavior at infinity
The function's derivative
The function's behavior at a specific point
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if a function has a horizontal asymptote at y = 2?
The function oscillates around y = 2
The function is undefined at y = 2
The function approaches y = 2 as x becomes very large or very small
The function never reaches y = 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What notation is used to describe the behavior of a function as x approaches positive infinity?
f(x) as x approaches a finite value
f(x) as x approaches negative infinity
f(x) as x approaches zero
f(x) as x approaches positive infinity
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of limits at infinity, what does it mean if a function approaches a finite value?
The function is constant
The function has a horizontal asymptote
The function has a vertical asymptote
The function is undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about limits at infinity?
They are not applicable to any function
They can differ based on the direction of x
They always result in a finite value
They are the same as limits at finite values
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function's limit as x approaches negative infinity is -2, what does this indicate?
The function decreases without bound
The function increases without bound
The function is undefined for negative x
The function approaches -2 as x becomes very negative
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of understanding limits at infinity?
They help in calculating derivatives
They provide insight into the end behavior of functions
They are used to find the area under a curve
They are irrelevant in calculus
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