High School Math : Understanding Maclaurin Series

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 :Taylor And Maclaurin Series

Give theterm 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 foris

Multiply byto get:

Theterm is therefore.

Example Question #91 :Calculus Ii — Integrals

Give theterm of the Maclaurin series of the function.

Possible Answers:

Correct answer:

Explanation:

Theterm of a Maclaurin series expansion has coefficient

.

We can findby differentiating three times in succession:

The term we want is therefore

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