What follows hindges on when , and when .Originally Posted by Nichelle14
Now:
Now as when :
Similarly as when :
So:
Hence:
so:
RonL
I am to find the limit as n approaches infinity of (sqrt(n+) + sqrt(n-1) - 2sqrt(n).
I separated the last term and then grouped. I did this so I could multiply by a conjugate.
When I simplified I ended up with this:
Lim as n approaches infinity of [(sqrt(n+1) - sqrt(n))^2 - (sqrt(n-1) - sqrt(n))^2]/(sqrt(n+1) - sqrt(n-1))
I don't think I did anything algebracially wrong. But any ways when I try to take the limit, I get a 0 in the denominator.
Can you help?