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Math Help - find the limit

  1. #1
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    find the limit

    how do I find the limit of the following two?

    1. limit of xyz/(x^3+yz^2) as (x,y,z) goes to (0,0,0)

    2. limit of (x+y)/(sqrt.(x^2+y^2)) as (x,y,z) goes to (0,0,0)
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  2. #2
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    Neither of these limits exist. For the first, try following the path x = at, y= bt, z = ct and the second y = mx, z=0.
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  3. #3
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    I made a simple mistake. The second one is as (x,y) goes to (0,0). Is the answer still the same?
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  4. #4
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    Yes, just omit the z.
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