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Let g: N N be defined by f(n) = n + 1 for all n € N. Is f surjective?

Let g: N N be defined by f(n) = n + 1 for all n € N. Is f surjective?

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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Let g: N→ N be defined by f(n) = n + 1 for all n E N. Is f surjective?
Transcribed Image Text:Let g: N→ N be defined by f(n) = n + 1 for all n E N. Is f surjective?
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Step 1

This is not surjective as 1 has no pre image.

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