Real Analysis II:Prove whether the series is convergent or divergent.Please follow example in other photo Masj=기12 controlRatio TestOntic(W)0016im2200 2245lox209-02 Root testGJaj(im Sup (21+2)! . (31) != (in Sup (231 + 2) 23;+) (23;)! 5 !(28+2)2;+)(2;)! 5!(સુ) .(૩)(3; +3)(3+2)X(3; + √(5₂)! (;)."(2j)!Lafio testtim sup lakLim Sup |ax| ³K > 1тукisTajtiCum sup ajlim inf faithLajkaj|[2G +0] !study linsup [3 (+]!=rojow412+1(j+()!Lim Sup 13/104128WriK²1 ak Conv.div.акK&T(2)!(33)!j²1ajaj Conv.div.jHTim sup (5+1)! 2³= Lim Sup C= Lim Sup 2/j+1=0 21→ Series Cond.

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Math

Calculus

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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.5: Percents

Problem 13WE

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Question

Real Analysis II: Prove whether the series is convergent or divergent. Please follow 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 !
(28+2)2;+)(2;)! 5!
(સુ) .(૩)
(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
Lajkaj
|[2G +0] !
study linsup [3 (+]!=
rojow
41
2+1
(j+()!
Lim Sup 13/1
041
2
8W
ri
K²1 ak Conv.
div.
ак
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.

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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