Question 1081522
Problem:


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

<img src = "https://i.imgur.com/ffLeQJu.png">

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Answer: <font color=red size=4>Choice A</font>

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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+sqrt(18-x)}}} 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.