The function A defined by

is called the Airy function after the English mathematician and astronomer Sir George Airy (1801€“1892).
(a) Find the domain of the Airy function.
(b) Graph the first several partial sums sn (x) on a common screen.
(c) If your CAS has built-in Airy functions, graph A on the same screen as the partial sums in part (b) and observe how the partial sums approximate A.

* A(x) =1 + 2.3 2.3.5.6. 8.9 2.3.5.6