Find the limit, of severable variables

[th3plan]

Homework Statement

limit as (x,y)---->(0,0)
x^3 +xy^2/(x^2 + y^2)

The Attempt at a Solution

i tried letting x = 0, and get zero, and i also let , y= 0 and got 0, and then i let y=x , and got , zero, how can i be sure sure this limit is zero? What do i do ?

Thanks

 

[tiny-tim]

limit as (x,y)---->(0,0)
x^3 +xy^2/(x^2 + y^2)

Hi th3plan!

You have noticed that this is x(x^2 +y^2)/(x^2 + y^2) ?

 

[th3plan]

ohh duhh, as always not being observent. Good catch, do you any sites that have practice problems similar to this ?

Thanks

 

[tiny-tim]

Sorry, don't know of any.

You could try asking in the https://www.physicsforums.com/forumdisplay.php?f=151" forum.

And there are some free books on the internet … https://www.physicsforums.com/showthread.php?t=127586".