Approximating ln(1.75) with Taylor/Maclaurin Polynomials Using 6 Terms

[intervade]

Homework Statement

Find a Taylor or Maclaurin polynomial to apporximate ln(1.75) using 6 terms.

Homework Equations

The Attempt at a Solution

I now that a MacLaurin polynomial is as follows.. c=0

and a Talyor polynomial is as follows..

so do I assume I'm working with ln(x)? I'm not really sure where to go with a value.. I have worked with questions such as.. estimate the sin(x) with a 5th degree taylor polynomial.. but this is a little bit different, maybe someone can push me in the right direction!

 

[Count Iblis]

You can expand around a point where the function is sufficently often differentiable. So, you cannot expand around the point x = 0 (i.e. take c = 0, as Log(x) is undefined there and certainly not differentiable at that point), but you can expand around x = 1.