Student Problem Set:

The following problems are for you to work out by hand and are representative of the examples discussed in this lab.

#1. Find a Maclaurin Series for cos x.

#2. Use the Maclaurin series for e^x and your answer in #1 to determine the following limit:

#3. Verify your result from #2 by L'Hospital's Rule.

#4. Derive the Maclaurin Series for xcos(2x).

#5. Approximate the following integral to within 0.001.

#6. If  f(x) = e^(x^2) , show that   f^(2*n) (0)  =  factorial(2*n)/factorial(n) .