High School Math : Applying Taylor Series

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Applying Taylor Series

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

Possible Answers:

Correct answer:

Explanation:

The  term of a Maclaurin series expansion has coefficient

.

We can find  by differentiating twice in succession:

 

 

The coefficient we want is 

,

so the corresponding term is .

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