SOLUTION: what's the limit: lim f(x){{{ (square root of x-2)/((x^2)-4)}}} as x approaches 2 from the right

Algebra ->  Test -> SOLUTION: what's the limit: lim f(x){{{ (square root of x-2)/((x^2)-4)}}} as x approaches 2 from the right      Log On


   

Question 207395: what's the limit:
lim f(x)+%28square+root+of+x-2%29%2F%28%28x%5E2%29-4%29 as x approaches 2 from the right
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Since both numerator and denominator go to zero as approaches 2 from the right, you need to use L'Hôpital's Rule.

If or and if exists, then



The rule also applies to one-sided limits, so:

If or and if exists, then



So take the first derivative of each of the numerator and denominator functions.




John