I wasn't sure which section this belonged to so I decided to post it here.
I started it like this:Use a method to approximate using a sequence of rational numbers. Do the same for
where L is the limit.
Both sequences must have the same limit:
Since we want L= :
Since we want this to be 0 a=b since the middle term cannot exist.
I want the positive so b=1.
Therefore the sequence becomes . This sequence tends to .
Using the same method to find one that tends to gives:
Once again, the central term cannot be present at the end so a=b:
But b can only be a rational number so it doesn't make sense. I think i'm supposed to use the first answer to find the second one except the two sequences are entirely different!
So am I on the right lines?