SOLUTION: Which of the following should you use the rationalization technique to find the limit? Thank you. limits: https://s21.postimg.org/3u5kvzm5j/limits.png

Algebra ->  Test -> SOLUTION: Which of the following should you use the rationalization technique to find the limit? Thank you. limits: https://s21.postimg.org/3u5kvzm5j/limits.png      Log On


   

Question 1081522: Which of the following should you use the rationalization technique to find the limit? Thank you.
limits: https://s21.postimg.org/3u5kvzm5j/limits.png
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Problem:

Which of the following should you use the rationalization technique to find the limit?

-----------------------------------------------------------------
Answer: Choice A
-----------------------------------------------------------------
Explanation:

Plugging x = 2 into the expression leads to the denominator being zero. Note how x-2 = 2-2 = 0. We can't divide by zero. We can rationalize the numerator by multiplying top and bottom by the expression 4%2Bsqrt%2818-x%29 which is the conjugate of the original numerator. Through a lot of simplification, the x-2 in the denominator will cancel with another x-2 in the numerator, which will be enough to substitute x = 2 and evaluate/simplify fully.