multivariable simple limit

[mighty birch]

Lim (x,y) -> (0,0) of x*e^(x/y)
How can i solve it, please provide steps

[crisp pewter]

You need to test it out first to decide what answer you want to prove

Try a bunch of values and see what happens

[odd gust]

Lol

x = rcos(a) and y = rsin(a)

r —> 0

And a €[0,pi/2]

So you got lim r—> = of rcos(a) e^(1/tan(a))

This lim—> 0 cuz rcos(a) —> 0