Test for convergence the series 3.6.9 ... 3n (i) E x" (x > 0), 7.10.13 ... (3n + 4) 2.4.6 ... (2n + 2) Σ 3.5.7... (2n + 3) メー' (x>0). (ii)
Test for convergence the series 3.6.9 ... 3n (i) E x" (x > 0), 7.10.13 ... (3n + 4) 2.4.6 ... (2n + 2) Σ 3.5.7... (2n + 3) メー' (x>0). (ii)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Don't give this solution we find the value or interval for x and also discuss at end points

Transcribed Image Text:Test for convergence the series
3.6.9
(i) E
n= 1
3n
7.10.13...
•..
x" (x> 0),
(3n + 4)
0.
2.4.6 ...
(2n +2)
3.5.7 ... (2n + 3)
(ii) E
(x>0).

Transcribed Image Text:) Let Š Une be the
given
series
こu
Then
Un =
3. 6.9.
3 n
7.10.13--(3nt4)
Now,
Unti
3-6-9.... 3n. (3n+3)
7.10.13. -(3n+y)
un
7.10. 13.
3.6.9 - 3り
- 3n+ 3
3n+7
Un
3n+7
二
unH
3n +3
also,
'3n+7
3n+7- 3 n- 3
Un
-)
ニ
Unti
3n+3
3n +3
こ
3n+3
n. 4
: Lim n -1) = lim
n(3+ %)
UnH
Lim
* >1
3+ 3m
: The
is convergent.
.
series
given
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

