Limit of (√x-√a)/(x-a) as x approaches a

[TyChi]

Homework Statement

Evaluate the limit

Lim (√x-√a)/(x-a)
x→a



I am not sure how to solve this. I asked my classmates and they do not know either. Help would be much appreciated!

 

[ArcanaNoir]

Looks like you have type zero-over-zero, thus permitting use of L'Hospital's rule, which says you can take the derivative of the top and the derivative of the bottom and then evaluate the limit.

 

[SammyS]

Homework Statement

Evaluate the limit

Lim (√x-√a)/(x-a)
x→a

I am not sure how to solve this. I asked my classmates and they do not know either. Help would be much appreciated!

You might consider rationalizing numerator. Then there's no need to use L'Hôpital's rule.