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- anonymous

Need some help finding limit. I tried to show that the limit DNE by setting x as 0, but that didn't work, so I tried setting y as 0, that didn't work either, so I tried setting y as 2, and that didn't work either. I am a bit stuck :/
lim (2xy-2y)/(x^2+y^2-2x+1)
X,Y-> (1,0)

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- anonymous

- katieb

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- anonymous

sorry, I meant to say, not to find the limit, but to show that it doesn't exist. help is appreciated :)

- amistre64

what do we need to prove in order to define a limit as DNE?

- amistre64

in 2 dimensions its pretty simple, we have a left and a right approach ... not many ways to try out
but in higher dimensions, the 'paths' to approach a point border on the infinite.

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- amistre64

show that there is at least 2 paths that lead to different results.

- amistre64

if y=x-1, what is our limit?

- anonymous

Ah okay my problem is that no matter what I substitute to try to show that there are two different limits, I keep getting 0... but I didn't think of trying x-1. I will try that right now.

- anonymous

okay thank you! I think I got it.

- amistre64

good job :)

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