I'm half way through this problem and I'm stuck now. I don't know where to go from here so I really need some help, please.
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You want: $\displaystyle 0<|x-1|<\delta$ and so you will have: $\displaystyle \delta=\frac{\epsilon}{2|x+1|}$ Now you need to bound $\displaystyle |x+1|$...
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