Question

f(x,y) = ln left( frac{3x^2 - x^2y^2 + 3y^2}{x^2 + y^2} ight) Rightarrow f(0,0) = ? ext{ (the limit is continuous)}

          f(x,y) = ln left( frac{3x^2 - x^2y^2 + 3y^2}{x^2 + y^2} 
ight) Rightarrow f(0,0) = ? 	ext{ (the limit is continuous)}
        
f(x,y) = ln left( frac3x^2 - x^2y^2 + 3y^2x^2 + y^2 
ight) Rightarrow f(0,0) = ? 	ext (the limit is continuous)

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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F6y) = ln '(a (0.01 (the Energy
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Transcript

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00:01 So, we are given the function f of x, y is equal to the natural log of ln of 3x square minus of x square y square plus 3y square over x square plus y square.
00:21 So we have to find f of 0, 0.
00:26 Now let us start with the concept which we have to use, that is, we are given in bracket the limit is continuous, so we have to use the concept of limit.
00:43 So as limit is continuous, that means limit the x, y tends to 0 for the given function f of x, y, this should be equal to 1.
01:01 So let's find it out, the limit x and y tends to 0.
01:08 The function is ln of 3x square minus x square y square plus 3y square divided by x square plus y square...
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