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:


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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