Question
sing the Maclaurin series we can approximate the value of ln(1 + x) using: ln(1 + x) = X n=1 (1)n+1 n x n x
sing the Maclaurin series we can approximate the value of ln(1 + x) using: ln(1 + x) = X n=1 (1)n+1 n x n x x 2 2 + x 3 3 x 4 4 + x 5 5 x 6 6 . . . (1) for |x| < 1. Write a program that can read a list of numbers, x, from a text file called input.txt. For each value in the input file, write the approximate ln(1+x) values to a text file called output.txt. The approximate values must be accurate to three decimal places. (You may need to sum the first 10 or more terms to get three decimal places of accuracy. Check what the value of ln(1 + x) should be on your calculator.) Hint: make use of user defined functions (however this is not a requirement)! Some ideas include: logApprox and power. Test each
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