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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
3%5Ex%2F%283%5E%283-x%29%5E%22%22-3%5E%28expr%281%2F2%29x%29%5E%22%22%29%22%22%2B%22%223%5E%283-x%29%2F%283%5E%283-x%29%5E%22%22-3%5E%28expr%281%2F2%29x%29%5E%22%22%29%22%22-%22%2212%5E%22%22+%2F%283%5E%283-x%29%5E%22%22-3%5E%28expr%281%2F2%29x%29%5E%22%22%29+

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