Limit problem: lim x--> 0 (h^2 + 15)^(1/2) - (h + 15)^(1/2) divided by (h+3)^1/2 - 2

[lavaswordman]

Limit problem: lim x--> 0 (h^2 + 15)^(1/2) - (h + 15)^(1/2) divided by (h+3)^1/2 - 2

How can you determine the following limit using rationalization? lim x--> 0 (h^2 + 15)^(1/2) - (h + 15)^(1/2) divided by (h+3)^1/2 - 2. I attempted to multiply by the conjugate and cannot get the problem to work out

 

[Deleted member 4993]

How can you determine the following limit using rationalization? lim x--> 0 (h^2 + 15)^(1/2) - (h + 15)^(1/2) divided by (h+3)^1/2 - 2. I attempted to multiply by the conjugate and cannot get the problem to work out

You do not have any x in the given expression.

 

[ksdhart]

I'm assuming that the x was a typo and you meant h. If that's the case, what happens if you simply plug in 0 for h? You only need to worry about multiplying by the conjugate if you get an indeterminate form.