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anonymous

  • one year ago

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

  2. amistre64
    • one year ago
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    what do we need to prove in order to define a limit as DNE?

  3. amistre64
    • one year ago
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    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.

  4. amistre64
    • one year ago
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    show that there is at least 2 paths that lead to different results.

  5. amistre64
    • one year ago
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    if y=x-1, what is our limit?

  6. anonymous
    • one year ago
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    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.

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  7. anonymous
    • one year ago
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    okay thank you! I think I got it.

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  8. amistre64
    • one year ago
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    good job :)

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