In each of the following, find whether the given series is convergent or divergent and where appropriate conditionally or absolutely convergent. Carefully justify cach conclusion. (a) Vr(r + 1) (b) (-r)" 3'r! (c) + 3r + 5 (e) Find the interval of convergence of the series [Be sure to check the end-points.]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In each of the following, find whether the given series is convergent or divergent and where appropriate
conditionally or absolutely convergent. Carefully justify each conclusion.
(a)
Vr(r+1)
(b)
(-r)"
r=l
(c)
E(-1)"
ri+ 3r +5
r=1
(e) Find the interval of convergence of the series
3r"
4 n?
O
[Be sure to check the end-points.]
ull
06:40 PM
2021-05-25 Page: 1 of 4
B I E E E 80% e
Words: 8
+)
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View In each of the following, find whether the given series is convergent or divergent and where appropriate conditionally or absolutely convergent. Carefully justify each conclusion. (a) Vr(r+1) (b) (-r)" r=l (c) E(-1)" ri+ 3r +5 r=1 (e) Find the interval of convergence of the series 3r" 4 n? O [Be sure to check the end-points.] ull 06:40 PM 2021-05-25 Page: 1 of 4 B I E E E 80% e Words: 8 +)
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