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Math Help - limits

  1. #1
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    limits

    find lim (x,y) aproach(0,0) 2xy/((x^2)+2y^2 if it exists, explain why the limit does or does not exist

    Use polar coordinates to find lim(x,Y)approach(0,0)
    (sin(x^2+y^2))/(x^2+y^2)
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  2. #2
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    Quote Originally Posted by samdmansam View Post
    find lim (x,y) aproach(0,0) 2xy/((x^2)+2y^2 if it exists, explain why the limit does or does not exist

    Mr F asks: What value do you get if you approach (0, 0) along the line y = mx ....? Therefore .....

    Use polar coordinates to find lim(x,Y)approach(0,0)
    (sin(x^2+y^2))/(x^2+y^2)

    Mr F says: Then go to polars!: {\color{red}\lim_{r \rightarrow 0} \frac{\sin r^2}{r^2} = \lim_{t \rightarrow 0} \frac{\sin t}{t} = .....}
    ..
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