- #1
courtrigrad
- 1,236
- 2
Hello all
I am having trouble proving the limit of the following:
lim sqrt(( n+1) - sqrt(n)) * sqrt(n+ 1/2 ) = 1/2
n --> 00
I tried using the fact the the limit of the first factor as n approaches infinity is 0. Then I tried expressing the first factor as
1 / sqrt(n+1) + sqrt(n) and doing the same thing for the other
factor. However I always get stuck.
Any help would be greatly appreciated!
I am having trouble proving the limit of the following:
lim sqrt(( n+1) - sqrt(n)) * sqrt(n+ 1/2 ) = 1/2
n --> 00
I tried using the fact the the limit of the first factor as n approaches infinity is 0. Then I tried expressing the first factor as
1 / sqrt(n+1) + sqrt(n) and doing the same thing for the other
factor. However I always get stuck.
Any help would be greatly appreciated!