{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter92005

# Chapter92005 - Chapter 9 Test 1 „ ∞ No Calculators Name...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 9 Test 1. March 18, 2005 „ ∞ No Calculators Name Determine whether the following series is absolutely convergent, conditionally convergent, or divergent. Justify your answer. H− 1Ln H log5 nL2 n−1 n=2 2. Use a Comparison test HDirect or LimitL to determine if the following series converges or diverges. n=2 ‚ ∞ 5 + 3n 1 + 4n Let f be a function that has derivatives of all that f H3L = − 2, f H3L = − 4, f H3L = 18, f HaL Write the fourth order Taylor polynomial for f HbL Write the third order Taylor polynomial for f g H4L be equal to ?L. 3. HcL Write the third order Taylor polynomial for g HxL = ‡ f HtL dt x 4 orders for all real numbers. Assume H3L = − 28, and f4 H3L = 48. at x = 3. at x = 3. at x=3 HHint : what should 4. Find the interval of convergence for : n=0 ‚ ∞ n H2 x − 1Ln 4n 5. Find the interval of convergence for : n=1 „ ∞ xn è!!!!!!!!!!!!!! ! H− 3L n n2 + 1 6. Find the Maclaurin series for f HxL = x 3x HHint : Do you know a power series for ex ?L 7. Use the Integral Test to determine if the following series is convergent or divergent : ‚ ∞ n=3 n Hln nL Hln Hln nLL 1 8. Find Pn HxL and Rn HxL for f HxL = log2 H4 xL at c = 2, n = 2. 9. Find Pn HxL and Rn HxL for f HxL = cos 2 x at c= 5π 6 , n = 3. 10. The series Hor, what is S − S6 ?L n=1 ‚ ∞ Hcos Hπ nLL n 2n converges. What is the maximum error of the sixth partial sum ? 11. Find a power series expansion for f HxL = x 1 iHint : Do you know a power series for j z ?y j z 2 1 −x { k H1 − 2 xL 12. Find the sum of the following series : n=2 ‚ ∞ H3 n − 2L H3 n + 1L 1 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

Chapter92005 - Chapter 9 Test 1 „ ∞ No Calculators Name...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online