Write a C program to explore the Taylor series approximation for ln(1+x) and the alternating series theorem. Your program must generate a five-column output stream to standard output. The first output column should be the function argument x, and swept from 0 to 1, inclusive, with a step of 0.01. The second output column should be the value of ln(1+x) as computed with the C library natural log function, log(). The third output column should be the approximation of ln(1+x) with three Taylor series terms. The fourth output column should be the error between the three-term approximation and the ln(1+x) value, and the fifth column should be the upper limit for this error as predicted by the alternating series theorem. Run your program, which must generate 101 lines redirected to a data file.