Modify the above proof to show that for any positive integer n, there are n distinct positive integers k1, k2,..., kn such that 11/12. 1 1 kı k2 1 kn + + + =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem: We showed that for any positive
integer n > 2, there are n distinct integers
k1, k2,, kn such that
1
1
1
+
kı k2
+
1.
kn
Modify the above proof to show that for any
positive integer n, there are n distinct positive
integers k1, k2,. kn such that
+ +
k2
1
kı
-
+
1
kn
Transcribed Image Text:Problem: We showed that for any positive integer n > 2, there are n distinct integers k1, k2,, kn such that 1 1 1 + kı k2 + 1. kn Modify the above proof to show that for any positive integer n, there are n distinct positive integers k1, k2,. kn such that + + k2 1 kı - + 1 kn
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