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A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: If n E E, then ... Choose all the following cases needed to complete this defintion. O n +1 € E, if n > 0 n + 2 € E, ifn >0 —п€ E, if n < 0 O -n e E, if n > 0

A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: If n E E, then ... Choose all the following cases needed to complete this defintion. O n +1 € E, if n > 0 n + 2 € E, ifn >0 —п€ E, if n < 0 O -n e E, if n > 0

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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A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: If n E E, then ... Choose all the following cases needed to complete this defintion. O n +1 € E, if n > 0 n + 2 € E, ifn >0 —п€ E, if n < 0 O -n e E, if n > 0
Transcribed Image Text:A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: If n E E, then ... Choose all the following cases needed to complete this defintion. O n +1 € E, if n > 0 n + 2 € E, ifn >0 —п€ E, if n < 0 O -n e E, if n > 0
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