(a) [16] Let f be a function from N to (0, 1). Prove that there exists y € (0, 1) such for any n E N, y ‡ f(n). (b) [4] Using part (a), prove that there is no surjection from N to R.
(a) [16] Let f be a function from N to (0, 1). Prove that there exists y € (0, 1) such for any n E N, y ‡ f(n). (b) [4] Using part (a), prove that there is no surjection from N to R.
Related questions
Question
Please answer the question carefully
![(8) (a) [16] Let f be a function from N to (0,1). Prove that there exists y € (0,1)
such for any n E N, y ‡ f(n).
(b) [4] Using part (a), prove that there is no surjection from N to R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04e085e1-7c38-44a5-b507-5c3f05209d33%2F43deca17-5b05-476a-b3f3-3aecf0303667%2Fnon26ck_processed.png&w=3840&q=75)
Transcribed Image Text:(8) (a) [16] Let f be a function from N to (0,1). Prove that there exists y € (0,1)
such for any n E N, y ‡ f(n).
(b) [4] Using part (a), prove that there is no surjection from N to R.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
