|
Home | 18.013A | Chapter 1 | Section 1.2 |
||
|
|
||
Are all such sequences countable?
Solution:
No! If you had a list of all of them, you can imagine a number that differs from every one of them because it differs from the n-th in the n-th decimal place. (If the n-th entry on the list had 5 in the n-th place give your number the value 7 in that place, otherwise give it 5.)
|
|