- #1
Kartik.
- 55
- 1
Prove the theorem comprising that an irrational number β can be described to any limit of accuracy with the help of rational.
Attempt-
Taking the β to be greater than zero and is expressed with an accuracy of 1/n
For any arbitrary value of β, it falls between two consecutive integers which are assumed to be N and N+1.Division of the interval between N and N+1 is into n parts.After this step i know that the number will fall between N+m/n and N+(M+1/n), but my question is HOW? and i also want to know about the rest of the proof.
Attempt-
Taking the β to be greater than zero and is expressed with an accuracy of 1/n
For any arbitrary value of β, it falls between two consecutive integers which are assumed to be N and N+1.Division of the interval between N and N+1 is into n parts.After this step i know that the number will fall between N+m/n and N+(M+1/n), but my question is HOW? and i also want to know about the rest of the proof.