High School Math : Understanding Maclaurin Series

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Maclaurin Series

Give the  term of the Maclaurin series expansion of the function .

Possible Answers:

Correct answer:

Explanation:

This can most easily be answered by recalling that the Maclaurin series for  is 

Multiply by  to get:

 

The  term is therefore .

Example Question #2 : Understanding Maclaurin Series

Give the  term of the Maclaurin series of the function  .

Possible Answers:

Correct answer:

Explanation:

The  term of a Maclaurin series expansion has coefficient

.

We can find  by differentiating three times in succession:

The term we want is therefore

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