document.write( "Question 1081522: Which of the following should you use the rationalization technique to find the limit? Thank you.\r
\n" ); document.write( "\n" ); document.write( "limits: https://s21.postimg.org/3u5kvzm5j/limits.png
\n" ); document.write( "

Algebra.Com's Answer #695574 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Problem:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Which of the following should you use the rationalization technique to find the limit?\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer: Choice A\r
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Explanation: \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "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.
\n" ); document.write( "
\n" );