control Ratio Test Ontic a) 001 S (2j)! j=₁ (3j)!) Jaj im 2200 2245 lox2 09-02 Root test G (im Sup (21+2)! . (31) != (in Sup (231 + 2) 23;+) (23;)! 5 ! (સુ) (૬) (28+2)2;+)(2;)!5! (3; +3)(3+2)X(3; +√(5₂)! (6₁)." 041 //K tim sup 19K Lim Sup |ak| ³K > 1 Lafio test is aj ti |[2G +0] ! study lim Sup [3 (+]! Cum sup aj lim inf faith Lizaj 41 21 2+1 (j+()! Lim Sup 11/1 2 8W (2)! (33)! ri K²1 9K Conv. div. ак K&T j²1 Gj aj Conv. = div. jH Tim Sup (5+1)! 2³ = Lim Sup C = Lim Sup 2/j+1=0 21 → Series Cond.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Real Analysis II Prove whether the series converges or diverges. Please follow similar example in other photo!
control
Ratio Test
Ontic
(W)
0016
im
2200 2245
lox2
09-02 Root test
G
Jaj
(im Sup (21+2)! . (31) != (in Sup (231 + 2) 23;+) (23;)! 5 !
(સુ) .(૩) (28+2)2;+)(2;)! 5!
(3; +3)(3+2)X(3; + √(5₂)! (;)."
(2j)!
Lafio test
tim sup lak
Lim Sup |ax| ³K > 1
тук
is
Tajti
Cum sup aj
lim inf faith
Kaj saj
|[2G +0] !
study linsup [3 (+]!=
rojow
41
2+1
(j+()!
Lim Sup 13/1
041
2
ri
K²1 ak Conv.
div.
ак
2
K&T
(2)!
(33)!
j²1
aj
aj Conv.
div.
jH
Tim sup (5+1)! 2³
= Lim Sup C
= Lim Sup 2/j+1=0 21
→ Series Cond.
Transcribed Image Text:control Ratio Test Ontic (W) 0016 im 2200 2245 lox2 09-02 Root test G Jaj (im Sup (21+2)! . (31) != (in Sup (231 + 2) 23;+) (23;)! 5 ! (સુ) .(૩) (28+2)2;+)(2;)! 5! (3; +3)(3+2)X(3; + √(5₂)! (;)." (2j)! Lafio test tim sup lak Lim Sup |ax| ³K > 1 тук is Tajti Cum sup aj lim inf faith Kaj saj |[2G +0] ! study linsup [3 (+]!= rojow 41 2+1 (j+()! Lim Sup 13/1 041 2 ri K²1 ak Conv. div. ак 2 K&T (2)! (33)! j²1 aj aj Conv. div. jH Tim sup (5+1)! 2³ = Lim Sup C = Lim Sup 2/j+1=0 21 → Series Cond.
Alo Baruffes
(3j)!
(2j)!
j=1
120
17
bro
W
Transcribed Image Text:Alo Baruffes (3j)! (2j)! j=1 120 17 bro W
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