How do you find the limit of (sqrt(x) - sqrt(6) + sqrt(x-6))/sqrt(x^2 - 36) as x approaches 6+?
1 Answer
Apr 10, 2016
The limit is
Explanation:
I do not have an algebraic solution, but here is a solution method:
Split the ratio:
= (sqrt(x) - sqrt(6))/sqrt(x^2 - 36)+(sqrt(x-6))/sqrt(x^2 - 36)
The second ratio can be written:
The limit of