Math 113 (Assignments)

Homework on 21 October 2016:

To be turned in on Monday:
1. Determine the Taylor series for $f(x)=\ln(1+x)$.
2. 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.)

3. Use the fifth term to estimate the size of the error in your answer for the previous question.
4. 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?

 Math 113 (Fall 2016) web pages Created: 21 Oct 2016 Last modified: Oct 21, 2016 3:15:40 PM Comments to: dpvc@union.edu