Problems for Intermediate Methods in Theoretical Physics Edward F. Redish

For the functions in the list below:

• Locate any singularities the function has
• Use mathematica to generate the first 10 terms of the Taylor series (about the origin)
• Explore the convergence of the Taylor series by calculating the value of the function given by the Taylor series for a number of real values of x. Choose values that illustrate the convergence or lack of convergence of the series in appropriate regions. You can do this in a variety of ways -- plotting a graph, showing lists of numbers, etc. Pick something that gives you some insight into how well the series does in calculating the values of the functions for different values of x.

RETURNS

University of Maryland	Physics Department	Physics 374 Home

Last revision 7. December, 2005.