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Let f be a function from N to (0,1). Prove -h for any nEN, y = f(n). Using part (a), prove that there is no surjectio:

Let f be a function from N to (0,1). Prove -h for any nEN, y = f(n). Using part (a), prove that there is no surjectio:

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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(8) (a) Let f be a function from N to (0,1). Prove that there exists y € (0,1) such for any nЄN, y = f(n). (b) Using part (a), prove that there is no surjection from N to R.
Transcribed Image Text:(8) (a) Let f be a function from N to (0,1). Prove that there exists y € (0,1) such for any nЄN, y = f(n). (b) Using part (a), prove that there is no surjection from N to R.
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