Hello, Can someone please help me solve this problem? Evaluate $\displaystyle Lim [x^2+2x+1 / x^4 - 1]$ x --> -1 got it down to about this: $\displaystyle 2x+1 / (x-1)(x^2-1)$ what should I do next?
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Originally Posted by l flipboi l Hello, Can someone please help me solve this problem? Evaluate $\displaystyle Lim [x^2+2x+1 / x^4 - 1]$ x --> -1 got it down to about this: $\displaystyle 2x+1 / (x-1)(x^2-1)$ what should I do next? $\displaystyle \lim_{x \to -1}\frac{x^2+2x+1}{x^4-1}$ $\displaystyle \lim_{x \to -1}\frac{(x+1)(x+1)}{(x+1)(x-1)(x^2+1)} \Rightarrow \lim_{x \to -1}\frac{(x+1)}{(x-1)(x^2+1)} \Rightarrow \frac{0}{-4} = 0$ you can also use L'Hospitals Rule
Last edited by bigwave; Jan 19th 2010 at 07:31 PM. Reason: more steps
I'm trying to avoid getting 0 in my denominator when I plug in X=-1. Does that mean that the solution "does not exist"?
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