- #1
Cpt Qwark
- 45
- 1
Homework Statement
Calculate [tex]\lim_{(x,y)\to(0,0)}\frac{x^4-4y^2}{x^2+2y^2}[/tex] along the the line [tex]y=2x[/tex]
Homework Equations
N/A
The Attempt at a Solution
Not too sure what they mean by calculating the limit along the line [tex]y=2x[/tex]. The answer is [itex]\frac{-3}{5}[/itex].
But I have gotten so far: [tex]\lim_{(0,y)\to(0,0)}\frac{-y^2}{y^2}=-1[/tex] and [tex]\lim_{(x,0)\to(0,0)}\frac{x^2}{x^2}=1[/tex], but the limit doesn't exist [tex]l_1\neq{l_2}[/tex]?
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