Question 1120278
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This really doesn't make much sense.  I'm not sure you wrote the expression the way it was intended.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \lim_{x\right 0}\,\frac{\(\sqrt{x\,+\,1}\)^2\ -\ 1}{x}]


Is what you wrote.  This simplifies to


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \lim_{x\right 0}\,\frac{x\ +\ 1\ -\ 1}{x}\ =\ \lim_{x\right 0}\,\frac{x}{x}\ =\ \lim_{x\right 0}\,1\ =\ 1]


Nothing but a triviality.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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