# proving the limit

• October 4th 2010, 10:01 AM
calculuskid1
proving the limit
Consider the sequence
{√n(√(n + 1)-√n)} where n>=1 . If the limit exists, ﬁnd it using ideas
from ﬁrst year, and then carefully prove that the limit is indeed your choice. If not, prove
that the limit does not exist.
Using first year ideas i found the limit to be 0. I am still working on the question but not really getting anywhere.. Any help would be nice
• October 4th 2010, 11:11 AM
Plato
The limit is $\frac{1}{2}$ not 0.
• October 4th 2010, 03:46 PM
calculuskid1
Yea you are right it is 0.5.. How can I prove that it is upper bounded because that seems like the best way to prove it converges