# High School Math : High School Math

## Example Questions

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### Example Question #2251 : High School Math

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

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 #1 : Understanding Maclaurin Series

Give the  term of the Maclaurin series of the function  .

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

### Example Question #1 : Applying Taylor Series

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

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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