Chapter 10.2, Problem 33E

3. Find the Taylor series for f (x) = 3x 5 - x 4+ 2x 3+ x 2 - 2 at x = -1.

Let f(x)=e(x-1)^2-1/(x-1)2  for x ≠ 1 and f(1)=1 a. Write the first four nonzero terms and the general term of the Taylor series for e(x-1)^2 about x=1 b. Use the series found in (a) to write the first four nonzero terms and the general term for the Taylor series for f about x=1 c. Determine the interval of convergence for the series given in (b). d. Use the series for f about x=1 to determine if the graph of f has any points of inflection.

Write the taylor series cetered at c = 1 for f(x) = 3x

Q8// Determine the Fourier series for a periodic function shown 2n TT 2п