Hi all, just signed up, wondering if anyone could look at a problem on a practice midterm of mine and explain why the limit is 1 and not 0

the midterm is here http://www.math.washington.edu/~m124...1_pevtsova.pdf

edit, needed help with 1 b

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- Jan 29th 2007, 05:02 PMbjorgenHelp with limit please
Hi all, just signed up, wondering if anyone could look at a problem on a practice midterm of mine and explain why the limit is 1 and not 0

the midterm is here http://www.math.washington.edu/~m124...1_pevtsova.pdf

edit, needed help with 1 b - Jan 29th 2007, 05:07 PMThePerfectHacker
Factor,

$\displaystyle \lim_{x\to 0} \frac{x^2-2x+1}{x-1}$

Factor,

$\displaystyle \lim_{x\to 0}\frac{(x-1)(x-1)}{x-1}$

Thus,

$\displaystyle \lim_{x\to 0}(x-1)=-1$ - Jan 29th 2007, 06:52 PMbjorgen
thanks, but doesn't the problem read x --> 1? in that case you'd do 1-1 meaning the limit would be 0?

- Jan 29th 2007, 07:10 PMThePerfectHacker
- Jan 29th 2007, 07:13 PMbjorgen
thanks, but the answer page says that it's one, must be an error?