Please see the attached file for the fully formatted problems.
Let f be the function defined by f(x) = sigma (starting at n=1 ending at infinity)
xnnn /(3n n!) for all values of x for which the series converges.
a) Find the radius of convergence of this series
b) Use the first three terms of this series to approximate f(-1)
c) Estimate the amount of error involved in the approximation in part b. Justify your answer
The radius of convergence and an approximation of a function are found.