18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

Using infinite series approximations, choosing the value of a parameter that will keep the values of a function as close to 1 as possible around x = 0.

- Complete exam problem 7 on page 1
- Check solution to exam problem 7 on page 2
- Complete exam problem 5a on page 1
- Check solution to exam problem 5a on page 1

Five questions which involve Taylor series approximations for sine, cosine, exponential, logarithmic, and other functions, as well as finding error bounds on these approximations.

18.01 Single Variable Calculus, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

- Complete exam problems 7C-1 to 7C-5 on page 44
- Check solution to exam problems 7C-1 to 7C-5 on pages 100–2