Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Suppose f: N→ N has the rule f(n) = 3n² – 1.
(a) Determine whether f is surjection onto N and show why.
(b) Determine whether f is injection into N and show why.
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Transcribed Image Text:Suppose f: N→ N has the rule f(n) = 3n² – 1. (a) Determine whether f is surjection onto N and show why. (b) Determine whether f is injection into N and show why.
Use the Principle of Mathematical Induction to prove that n > n? +3 for all n> 2.
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Transcribed Image Text:Use the Principle of Mathematical Induction to prove that n > n? +3 for all n> 2.
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