Lesson Worksheet: Maclaurin Series Mathematics • Higher Education
In this worksheet, we will practice finding Maclaurin series of a function and finding the radius of convergence of the series.
Q2:
Consider the function .
What are the first four derivatives of with respect to ?
- A, , , and
- B, , , and
- C, , , and
- D, , , and
- E, , , and
Write the general form for the th derivative of with respect to .
- A
- B
- C
- D
- E
Hence, derive the Maclaurin series for .
- A
- B
- C
- D
- E
What is the radius of convergence of the Maclaurin series for ?
- A
- B
- C
- D
- E
Q4:
Consider the function .
Derive the Maclaurin series for .
- A
- B
- C
- D
- E
Using the Maclaurin series, find to 5 decimal places.
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