
Understanding Limits of Sequences
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main idea of the theorem used to find the limit of a sequence?
It defines a sequence as a sum of infinite terms.
It explains how to differentiate sequences.
It relates the limit of a sequence to the limit of a function.
It states that all sequences converge to zero.
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the method of dividing by the highest power of n?
Multiply each term by n.
Divide each term in the numerator and denominator by n.
Subtract n from each term.
Add n to each term.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do certain terms approach zero as n approaches infinity?
Because their numerators are constants and denominators grow infinitely.
Because their numerators grow faster than denominators.
Because they are multiplied by zero.
Because they are subtracted from infinity.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the fractions with constant numerators as n approaches infinity?
They approach zero.
They approach infinity.
They oscillate.
They remain constant.
Tags
CCSS.HSF-IF.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the shortcut method for finding limits involve?
Comparing the degrees of the numerator and denominator.
Adding the degrees of the numerator and denominator.
Comparing the coefficients of the terms.
Subtracting the degrees of the numerator from the denominator.
Tags
CCSS.HSF-IF.C.8B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of a rational function if the degree of the numerator is less than the degree of the denominator?
The limit does not exist.
The limit is infinity.
The limit is one.
The limit is zero.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of a rational function if the degrees of the numerator and denominator are equal?
The limit is the ratio of the leading coefficients.
The limit is infinity.
The limit does not exist.
The limit is zero.
Tags
CCSS.HSF-IF.C.8B
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