78 Show that the limit does not exist by considering the limitsas (x, y)(0, 0) along the

Chapter 13, Problem 7

(choose chapter or problem)

Show that the limit does not exist by considering the limits as $(x, y) \rightarrow(0,0)$ along the coordinate axes

(a) $\lim _{(x, y) \rightarrow(0,0)} \frac{3}{x^{2}+2 y^{2}}$

(b) $\lim _{(x, y) \rightarrow(0,0)} \frac{x+y}{2 x^{2}+y^{2}}$

Equation Transcription:

$\lim\limits_{{(x,y)} \rightarrow {(0,0)}}$ $\frac{3}{{x}^{2}+2{y}^{2}}$

$\lim\limits_{{(x,y)} \rightarrow {(0,0)}}$ $\frac{x+y}{2{x}^{2}+{y}^{2}}$

Text Transcription:

lim_(x,y)->(0,0) 3/x^2+2y^2

lim_(x,y)->(0,0) x+y/2x^2+y^2

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