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(It's hard to show a nice example without the Latex.)

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- Thread starter bacon
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- #1

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(It's hard to show a nice example without the Latex.)

- #2

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Yes, you get as close as you can get.

- #3

HallsofIvy

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For example, if f(x)= x

Since you mention "In particular I'm interested in where the denominator of a function of interest contains the factor (x-1)", take [itex]f(x)= (x^2- 1)/(x-1). To find [itex]lim_{x\rightarrow 1}f(x)[/itex] note that [itex]x^2- 1= (x-1)(x+ 1)[/itex] so that [itex](x^2-1)/(x-1)= x+1[/itex] for all x

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