SOLUTION: limit x->2 3^x/{3^{3-x}-3^{1/2x}}+3^{3-x}/{3^{3-x}-3^{1/2x}}-12 /{3^{3-x}-3^{1/2x}} This for the picture http://www5a.wolframalpha.com/Calculate/MSP/MSP2757211df1gfi3a218150000

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Question 976067: limit x->2 3^x/{3^{3-x}-3^{1/2x}}+3^{3-x}/{3^{3-x}-3^{1/2x}}-12 /{3^{3-x}-3^{1/2x}}
This for the picture
http://www5a.wolframalpha.com/Calculate/MSP/MSP2757211df1gfi3a21815000033gb4835340ah06b?MSPStoreType=image/gif&s=12&w=315.&h=45.
And now my question is how to solve it ??

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


What a messy problem!

They already have a common denominator, so we combine the numerators over the LCD.



Rationalize the denominator:







Keep on and you can finally get it to this:



But it's still a mess.

Edwin

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