1. Find the limit if it exists, or show that the limit does not exist.
lim(x,y)->(0,0) of 2x/2x+3y

Let y=cx
2x/2x+3(cx)
2x/2+3c)x
lim(x)->0 = 2/(2+3c)
Limit DNE since it is dependent on the slope of c

2. Find the limit if it exists, or show that the limit does not exist.
lim(x,y)->(0,0) of x^5/x^2+y^2

Let y=cx
x^5/x^2+(cx)^2
x^5/(1+c^2)x^2
lim(x)->0 = x^3/1+c^2
Limit may exist at 0, however the slope of c is different as x,y approaches differently. Therefore limit DNE