1. Evalute the improper integral 3x dx. J ' 1+ x² -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Evalute the improper integral
3x
dx.
- x²
1+
2. Determine whether the series
2
Σ
(n + 1) (n + 2)
n=0
converces or diverges. If converges find the sum.
3. Determine whether the series
n + 1
3n2n
n=:
converces or diverges.
4. Determine whether the alternating series
n + 4
E(-1)"+1
(n + 1) (n + 2)
n=1
converges or diverges.
IM:
Transcribed Image Text:1. Evalute the improper integral 3x dx. - x² 1+ 2. Determine whether the series 2 Σ (n + 1) (n + 2) n=0 converces or diverges. If converges find the sum. 3. Determine whether the series n + 1 3n2n n=: converces or diverges. 4. Determine whether the alternating series n + 4 E(-1)"+1 (n + 1) (n + 2) n=1 converges or diverges. IM:
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