4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F577c9e72-c2a7-4179-bb06-4e7182c627b9%2Fce33a6ae-42a1-4494-88ae-3c53389bb3b8%2Fjvff488_processed.jpeg&w=3840&q=75)
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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