
Understanding Maclaurin Series and Their Connections

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Maclaurin Series representation of e^x?
x - x^3/3! + x^5/5! - ...
1 - x + x^2/2! - x^3/3! + ...
1 + x + x^2/2! + x^3/3! + ...
1 - x^2/2! + x^4/4! - ...
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the Maclaurin Series for cosine of x?
1 + x^2/2! + x^4/4! + ...
1 - x^2/2! + x^4/4! - x^6/6! + ...
1 + x + x^2/2! + x^3/3! + ...
x - x^3/3! + x^5/5! - ...
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the Maclaurin Series for sine of x begin?
x + x^3/3! + x^5/5! + ...
x - x^3/3! + x^5/5! - ...
1 - x^2/2! + x^4/4! - ...
1 + x + x^2/2! + x^3/3! + ...
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between the Maclaurin Series of e^x and the sum of cosine and sine series?
The presence of factorials
The alternating negative signs
The use of imaginary numbers
The starting term
Tags
CCSS.HSN.CN.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of i^2?
1
-i
-1
i
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which term in the Maclaurin Series of sine of x corresponds to i^3?
x^7/7!
x^5/5!
x^3/3!
x^9/9!
Tags
CCSS.HSN.CN.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cycle pattern of the powers of i?
Positive, negative, positive, negative
Positive, negative, negative, positive
Positive, positive, negative, negative
Negative, positive, negative, positive
Tags
CCSS.8.EE.A.2
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