2k+1 2. ΣK=12k²(K+1)² 3. Σ=1 tan-1(k + 1) – tan^1(k)

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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please sir solve parts  2 and 3, thanks alot sir 

Question A: Find the sum if it exists
√k+1-√k
1. Σ=1
√k²+k
2k+1
2. Σ=1 2k² (k+1)²
3. Σtan ¹(k+1)-tan-¹(k)
4. Ex-In (+¹)
32k +(-1)k4k+1
10k
00
5. Ek=1
(7) *
(=
6.5
2
7.3 + ² + + + +
9 27
2k
3k+1
+
Transcribed Image Text:Question A: Find the sum if it exists √k+1-√k 1. Σ=1 √k²+k 2k+1 2. Σ=1 2k² (k+1)² 3. Σtan ¹(k+1)-tan-¹(k) 4. Ex-In (+¹) 32k +(-1)k4k+1 10k 00 5. Ek=1 (7) * (= 6.5 2 7.3 + ² + + + + 9 27 2k 3k+1 +
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