
Understanding Series Convergence and Divergence

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the nth term divergent test?
To determine if a series is finite
To apply L'Hopital's Rule
To check if the nth term approaches zero
To find the sum of a series
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the limit of a sub n as n approaches infinity is not zero?
The series is finite
The series diverges
The series is undefined
The series converges
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is L'Hopital's Rule applied in this context?
To find the sum of the series
To resolve an indeterminate form
To compare two series
To determine the convergence of a series
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limitation of the nth term divergent test?
It does not provide information if the limit is zero
It only applies to geometric series
It can only be used for finite series
It requires a graphing calculator
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the direct comparison test used for?
To find the exact sum of a series
To compare a series to a known convergent or divergent series
To apply L'Hopital's Rule
To determine the nth term of a series
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the direct comparison test, what happens if the larger series converges?
The smaller series is undefined
The smaller series also converges
The smaller series becomes finite
The smaller series diverges
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key challenge in applying the direct comparison test?
Using a graphing calculator
Finding the exact sum of the series
Deciding which series to compare it to
Applying L'Hopital's Rule
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