To be turned in on Monday:
- Determine the Taylor series for $f(x)=\ln(1+x)$.
- Use the first 4 terms of the series to compute an approximate value for $\ln(1.1)$.
(You may use a calculator to assist with the summation, but do show the steps that you are taking, and don't do all the computation in one step.)
- Use the fifth term to estimate the size of the error in your answer for the previous question.
- Use a calculator to compute the value of $\ln(1.1)$ and compare it to your approximation and error estimate. How well did you do with your answers for the previous parts?