write program in C language also use loops.

The arithmetic-geometric mean of two numbers z, y, denoted M(x, y) (or agm(x, y)) can be computed iteratively as follows. Initially, a) and gVy (i.e. the normal arithmetic and geometric means). Then, compute The two sequences will converge to the same number which is the arithmetic-geometric mean of z, y. Obviously we cannot compute an infinite sequence, so we compute until an-9n e for some sm number e Write a program that computes the arithmetic-geometric mean of two numbers by read- ing x,y and e as command line arguments and outputs to the standard output