MAT112 Calculus 2 Professor Porter Sample Test #4 Taylor
Series
- Determine if the series converges or diverges and specify
the relevant test.
![](112t4_files/image001.gif)
![](112t4_files/image002.gif)
![](112t4_files/image003.gif)
![](112t4_files/image004.gif)
![](112t4_files/image005.gif)
- Determine if the series converges conditionally,
absolutely, or diverges.
![](112t4_files/image006.gif)
![](112t4_files/image007.gif)
- Find the radius of convergence.
![](112t4_files/image008.gif)
- Give the Maclaurin series for
and give the radius of
convergence.
- Find the first 4 non-zero terms for the Maclaurin series
for
![](112t4_files/image010.gif)
- Give the Taylor series to n=4 places for
around the center
x = 9
- Use the result in 6 to approximate the square root of 11.
- Evaluate the series:
![](112t4_files/image012.gif)