If f(n)(0) = (n + 1)! forn = 0, 1, 2, . . . , find the Maclaurin series forf and its radius of convergence

radius-convergence

#1

If f(n)(0) = (n + 1)! forn = 0, 1, 2, . . . , find the Maclaurin series forf and its radius of convergence.

Answer:

Consider the following function:
image
Find the Maclaurin series for the function f and its radius of converges.
The Maclaurin series for the function f is,
image