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Evaluate lim((x,y) to (1,2)), g(x,y) , i...

Evaluate `lim_((x,y) to (1,2))`, g(x,y) , if the limit exist where g(x,y) `=(3x^(2) - xy)/(x^(2) + y^(2)+ 3)`

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The correct Answer is:
`therefore `Limit `= (3-2)/(1+ 4+2) =1/8`
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Knowledge Check

  • lim _((x,y) to(1,0))(x ^(2) + y ^(2))/(x - 2y ) is :

    A
    0
    B
    `-1/2`
    C
    `1`
    D
    `1/2`

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