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Exercise 3.14. (i) Prove that, for n > 1, it follows that =) < 1+ (1+ 22 1+ 2n (ii) Prove that, for n > 1, it follows that 1 1+ 13 1+ 23 1 n3 < 3. Exercise 3.15. Let a1, a2, ..., an be real numbers greater than or equal to 1. Prove that 1 1+ ai i=1 1+ Vai • An ...

Exercise 3.14. (i) Prove that, for n > 1, it follows that =) < 1+ (1+ 22 1+ 2n (ii) Prove that, for n > 1, it follows that 1 1+ 13 1+ 23 1 n3 < 3. Exercise 3.15. Let a1, a2, ..., an be real numbers greater than or equal to 1. Prove that 1 1+ ai i=1 1+ Vai • An ...

Advanced Engineering Mathematics
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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Exercise 3.14. (i) Prove that, for n 2 1, it follows that 1+5 1+ 1+ 2n ... (ii) Prove that, for n > 1, it follows that 1 1 + 23 1 1+ n3 1+ 13 < 3. ... Exercise 3.15. Let a1, a2,..., an be real numbers greater than or equal to 1. Prove that n 1+ ai i=1 1+ Vai:• An
Transcribed Image Text:Exercise 3.14. (i) Prove that, for n 2 1, it follows that 1+5 1+ 1+ 2n ... (ii) Prove that, for n > 1, it follows that 1 1 + 23 1 1+ n3 1+ 13 < 3. ... Exercise 3.15. Let a1, a2,..., an be real numbers greater than or equal to 1. Prove that n 1+ ai i=1 1+ Vai:• An
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