Question

Example 1. Find the limit, if it exists, or show that the limit does not exist. (a) ( lim _{(x, y) ightarrow(0,0)} frac{x y}{x^{2}+2 y^{2}} ) (b) ( lim _{(x, y) ightarrow(0,0)} frac{x y^{2}}{x^{2}+y^{4}} ) (c) ( lim _{(x, y) ightarrow(0,0)} frac{sin left(x^{2}+y^{2} ight)}{x^{2}+y^{2}} ) (d) ( lim _{(x, y) ightarrow(0,0)} frac{-2 x^{2}-3 y^{2}}{sqrt{left(-2 x^{2}-3 y^{2}+1 ight)}-1} )

          Example 1. Find the limit, if it exists, or show that the limit does not exist.
(a) ( lim _{(x, y) 
ightarrow(0,0)} frac{x y}{x^{2}+2 y^{2}} )
(b) ( lim _{(x, y) 
ightarrow(0,0)} frac{x y^{2}}{x^{2}+y^{4}} )
(c) ( lim _{(x, y) 
ightarrow(0,0)} frac{sin left(x^{2}+y^{2}
ight)}{x^{2}+y^{2}} )
(d) ( lim _{(x, y) 
ightarrow(0,0)} frac{-2 x^{2}-3 y^{2}}{sqrt{left(-2 x^{2}-3 y^{2}+1
ight)}-1} )

$Example 1. Find the limit, if it exists, or show that the limit does not exist. (a) ( lim (x, y) ightarrow(0,0) fracx yx^2+2 y^2 ) (b) ( lim (x, y) ightarrow(0,0) fracx y^2x^2+y^4 ) (c) ( lim (x, y) ightarrow(0,0) fracsin left(x^2+y^2 ight)x^2+y^2 ) (d) ( lim (x, y) ightarrow(0,0) frac-2 x^2-3 y^2sqrtleft(-2 x^2-3 y^2+1 ight)-1 )$

Added by Javier A.

Question

Please give Ace some feedback