The Maclaurin Polynomial

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Exercise 1. (a) Find the Maclaurin polynomial of degree n = 5 for [Graphics:mp1.txtgr1.gif].

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

Solution 1.

 

Exercise 2. (a) Find the Maclaurin polynomial of degree n = 4 for [Graphics:mp2.txtgr1.gif].

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

Solution 2.

 

Exercise 3. (a) Find the Maclaurin polynomial of degree n = 5 for [Graphics:mp3.txtgr1.gif].

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

Solution 3.

 

Exercise 4. (a) Find the Maclaurin polynomial of degree n = 3 for [Graphics:mp4.txtgr1.gif].

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

Solution 4.

 

Exercise 5. (a) Find the Maclaurin polynomial of degree n = 4 for [Graphics:mp5.txtgr1.gif][Graphics:mp5.txtgr2.gif].

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

Solution 5.

 

Exercise 6. (a) Find the Maclaurin polynomial of degree n = 2 for [Graphics:mp6.txtgr1.gif].

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

Solution 6.

 

Exercise 7. (a) Find the Maclaurin polynomial of degree n = 4 for [Graphics:mp7.txtgr1.gif].

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

Solution 7.

 

Exercise 8. (a) Find the Maclaurin polynomial of degree n = 2 for [Graphics:mp8.txtgr1.gif].

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

Solution 8.

 

Exercise 9. (a) Find the Maclaurin polynomial of degree n = 5 for [Graphics:mp9.txtgr1.gif].

(b) Find the Maclaurin polynomial of degree n = 11.

Solution 9.

 

Exercise 10. (a) Find the Maclaurin polynomial of degree n = 4 for [Graphics:mp10.txtgr1.gif].

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

Solution 10.

 

Exercise 11. (a) Find the Maclaurin polynomial of degree n = 3 for [Graphics:mp11.txtgr1.gif].

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

Solution 11.

 

Exercise 12. (a) Find the Maclaurin polynomial of degree n = 5 for [Graphics:mp12.txtgr1.gif].

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

Solution 12.

 

Exercise 13. (a) Find the Maclaurin polynomial of degree n = 4 for [Graphics:mp13.txtgr1.gif].

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

Solution 13.

 

Exercise 14. (a) Find the Maclaurin polynomial of degree n = 3 for [Graphics:mp14.txtgr1.gif].

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

Solution 14.

 

Exercise 15. (a) Find the Maclaurin polynomial of degree n = 3 for [Graphics:mp15.txtgr1.gif].

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

Solution 15.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews, 1998