evaluating limits
- Thread starter chengeto
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Yes, I think it's a good result.
It shows that the limit does not depend on the value of m.
The limit is 0 along any line with arbitrary slope through (0, -2).
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Yes, I think it's a good result.
It shows that the limit does not depend on the value of m.
The limit is 0 along any line with arbitrary slope through (0, -2).
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I'm not sure, but it looks like you're treating m as a constant. However m="0/0" when you make the limit substitution (the function is not continuous there and thus you cannot do that). It has been long since I have reviewed multivariable limits, but I think this limit does not exist. Along the line y=-2 the limit is 1/3, but along the y axis it is 0.