40. Evaluate the following:
. . . . .\(\displaystyle \displaystyle \lim_{x \rightarrow 2}\, \dfrac{\sqrt{\strut x\, +\, 2\,}\, -\, \sqrt{\strut 3x\, -\, 2\,}}{\sqrt{\strut 5x\, -\, 1\,}\, -\, \sqrt{\strut 4x\, +\, 1\,}}\)
I have tried to multiply the conjugate over the conjugate (sqrt5x-1 +sqrt 4x+1)/(sqrt5x-1 +sqrt 4x+1),
then the upper number becomes even more complicated as there are so many square root.
. . . . .\(\displaystyle \displaystyle \lim_{x \rightarrow 2}\, \dfrac{\sqrt{\strut x\, +\, 2\,}\, -\, \sqrt{\strut 3x\, -\, 2\,}}{\sqrt{\strut 5x\, -\, 1\,}\, -\, \sqrt{\strut 4x\, +\, 1\,}}\)
I have tried to multiply the conjugate over the conjugate (sqrt5x-1 +sqrt 4x+1)/(sqrt5x-1 +sqrt 4x+1),
then the upper number becomes even more complicated as there are so many square root.
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