Problem

Write a routine to compute the natural logarithm by the algorithm outlined here based on...

Write a routine to compute the natural logarithm by the algorithm outlined here based on telescoped rational and Gaussian continued fractions for ln x and test for several values of x. First check whether x = 1 and return zero if so. Reduce the range of x by determining n and r such that x = r × 2ⁿ with

and compute ln[(1 + u)/(1 − u)] by the approximation

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Solutions For Problems in Chapter 2.2

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