Thread: evaluate limit

lim as n goes to infinity of square root of (n + square root of n+1) - square root n)


does it equal 0

Originally Posted by twilightstr

lim as n goes to infinity of square root of (n + square root of n+1) - square root n)


does it equal 0

try multiplying by the conjugate over itself

yes i have done so already.

Originally Posted by twilightstr

yes i have done so already.

...and...? where are you getting stuck?

just to make things a little less messy, note that if you make a substitution of then your limit is the same as



now can you finish up?