lim f(X)= (sq root x+5)-3/(x)
x-> 0

Just checking, but is that

or



or



In any case, the limit does not exist.

For instance, in the first case, as we approach 0 from the right, we get

As we approach 0 from the left, we get

lim (1/x)-(1/2)
x-->2 -------------------
(x-2)