1) Write a C program that computes In (x) using the following Taylor series: x2 23 1 k! + + IR; 2 3! =1+x+ (-1) sin(x) = 25 73 + 2+1 X + XEIR: (2k + 1)! k=0 3! 5! 7! cos(x) = (-1) x2k 1 22 + 2 XER; (2k)! 6! k=0 In(x) = (-1)+1 -(x - 1) k k=1 (x - 1)2 (x - 1)3 (x - 1)4 = (- 1) - + + x (0,2); 2 3 4 1 1 k=0 *, = 1+1 + x2 + x +..., X (-1,1); (c+ x)* = ().*-* A(A 1) .....(A k +1) A-kigeki X (-c,c). k=0 = k! k=0 Implement the program using for loop, while loop, and do while (similar to the in-class exercises)