6) Which of the following series diverge? 1. Σ/sin2 71-0 TT II. 00 Στη e" III. (1) e" +1 n=1 (A) III only (B) I and II only (C) I and III only (D) II and III only (E) I. IL and III

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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how is #6 solved

5.
What are all values of p for which the infinite series
converges?
(A) p>0
(B) p≥1
(C) p >1
(D) p≥2
(E) p >2
6) Which of the following series diverge?
00 sin 2
TT
7.)
x=0?
(A) III only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I. II and III
(A) ㅎ
(B)
(C) 1
(D) 3
(E) 6
E
(A) -30
(B) -15
(C) -5
(D)
(E)
I.
11=0
7441616
80 1
II.
11=1
11. Σ √n
III. Σ
}}=1
5
e"
(²+1)
e" +1
What is the coefficient of x² in the Taylor series for
2137
monos lemon
8
n=1
a eignieroflot JoribilW
n
n² +1
Istgoing airt doirly 101 to 20ulsy on 1 Sterli (0)
1
(1+x)²
+
rol a to asuls is
21
8.) Let P(x)=3x² -5x³ +7x² + 3x³ be the fifth-degree Taylor polynomial
for the function f about x=0. What is the value of f"(0)?
about
445)
to sulty srit extr
esgrovib 291192 511 (3)
jo) esitse nitusbeModT
101 001206
9. (Calcula
The gra
1-x+
Transcribed Image Text:5. What are all values of p for which the infinite series converges? (A) p>0 (B) p≥1 (C) p >1 (D) p≥2 (E) p >2 6) Which of the following series diverge? 00 sin 2 TT 7.) x=0? (A) III only (B) I and II only (C) I and III only (D) II and III only (E) I. II and III (A) ㅎ (B) (C) 1 (D) 3 (E) 6 E (A) -30 (B) -15 (C) -5 (D) (E) I. 11=0 7441616 80 1 II. 11=1 11. Σ √n III. Σ }}=1 5 e" (²+1) e" +1 What is the coefficient of x² in the Taylor series for 2137 monos lemon 8 n=1 a eignieroflot JoribilW n n² +1 Istgoing airt doirly 101 to 20ulsy on 1 Sterli (0) 1 (1+x)² + rol a to asuls is 21 8.) Let P(x)=3x² -5x³ +7x² + 3x³ be the fifth-degree Taylor polynomial for the function f about x=0. What is the value of f"(0)? about 445) to sulty srit extr esgrovib 291192 511 (3) jo) esitse nitusbeModT 101 001206 9. (Calcula The gra 1-x+
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