(a) Prove that for every integer n ≥ 2, 1 n+2 1 + n+1 +...+ 2n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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10 (a) Prove that for every integer n ≥ 2,
1
n+2
1
n+1
+
++
(b) Prove that for every integer n ≥ 1,
1+
+++ / 2+ +√√√3+
冷
²72
++
√/n
√n ≤2√n.
Transcribed Image Text:10 (a) Prove that for every integer n ≥ 2, 1 n+2 1 n+1 + ++ (b) Prove that for every integer n ≥ 1, 1+ +++ / 2+ +√√√3+ 冷 ²72 ++ √/n √n ≤2√n.
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