Exercise 1. (a) Find the Taylor polynomial of degree n = 5 for , expanded about .

(b) Find the Taylor polynomial of degree n = 8.

Solution 1.

Exercise 2. (a) Find the Taylor polynomial of degree n = 5 for , expanded about .

(b) Find the Taylor polynomial of degree n = 8.

Solution 2.

Exercise 3. (a) Find the Taylor polynomial of degree n = 3 for , expanded about .

(b) Find the Taylor polynomial of degree n = 6.

Solution 3.

Exercise 4. (a) Find the Taylor polynomial of degree n = 3 for , expanded about .

(b) Find the Taylor polynomial of degree n = 6.

Solution 4.

Exercise 5. (a) Find the Taylor polynomial of degree n = 4 for , expanded about .

(b) Find the Taylor polynomial of degree n = 7.

Solution 5.

Exercise 6. (a) Find the Taylor polynomial of degree n = 2 for , expanded about .

(b) Find the Taylor polynomial of degree n = 4.

Solution 6.

Exercise 7. (a) Find the Taylor polynomial of degree n = 4 for , expanded about .

(b) Find the Taylor polynomial of degree n = 7.

Solution 7.

Exercise 8. (a) Find the Taylor polynomial of degree n = 2 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5.

Solution 8.

Exercise 9. (a) Find the Taylor polynomial of degree n = 5 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5 for , expanded about .

Solution 9.

Exercise 10. (a) Find the Taylor polynomial of degree n = 5 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5 for , expanded about .

Solution 10.

Exercise 11. (a) Find the Taylor polynomial of degree n = 3 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5.

Solution 11.

Exercise 12. (a) Find the Taylor polynomial of degree n = 5 for , expanded about .

(b) Find the Taylor polynomial of degree n = 9.

Solution 12.

Exercise 13. (a) Find the Taylor polynomial of degree n = 4 for , expanded about .

(b) Find the Taylor polynomial of degree n = 10.

Solution 13.

Exercise 14. (a) Find the Taylor polynomial of degree n = 3 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5.

Solution 14.

Exercise 15. (a) Find the Taylor polynomial of degree n = 3 for , expanded about .

(b) Find the Taylor polynomial of degree n = 5.

Solution 15.

(c) John H. Mathews, 1998