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4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D

4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D

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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Please send handwritten solution for Q 4.3.3
4.3 Prove the following statements by Mathematical Induction: 4.3.1 an < 3x, if a, = 3, x 2 2, and an+1 = V2(2 + an) 9n – 1 is a multiple of 2 for n > 1 4.3.3 ; (n3 + 1) < E-1x3,n > 2 [Hint: E-1x3 = (1)3 + (2)3 = 9]
Transcribed Image Text:4.3 Prove the following statements by Mathematical Induction: 4.3.1 an < 3x, if a, = 3, x 2 2, and an+1 = V2(2 + an) 9n – 1 is a multiple of 2 for n > 1 4.3.3 ; (n3 + 1) < E-1x3,n > 2 [Hint: E-1x3 = (1)3 + (2)3 = 9]
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