4. In your Calculus course you will learn that the function ln(1 + x) can be approximated by a polynomial of degree n as follows: •+(−1)(n+1)r” /n This is called a power series approximation. program Write a program to check the accuracy of this formula. Your program must prompt the user for the value of x (where |x|| < 1) and the degree, n, of the polynomial to use. Your should then write the values of r, n, the approximation, the actual value and the percent relative error to the output file powerseries out.txt. ln(1 + x) ≈x − Here is a sample run: x = 0.900000 n=5 1 2 2 + 1 3 3 1 1 + T 5 approximate value = 0.692073 actual value = 0.641854 relative error = 7.824064 percent For marking purposes use î= 0.9 and n = 40. 5

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Declaring and Defining the function

A set of statements, which performs a particular task is called a function. The program gains modularity by using function. The application is quite easy to understand, read, and edit when they are created with functions. The developer/programmer creates a function and uses main() to call the function. Once the function gets executed, the control is transferred to the main program.