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Find the limit, of severable variables

  • Thread starter th3plan
  • Start date
  • #1
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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
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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limit as (x,y)---->(0,0)
x^3 +xy^2/(x^2 + y^2)
Hi th3plan! :smile:

You have noticed that this is x(x^2 +y^2)/(x^2 + y^2) ?
 
  • #3
92
0
ohh duhh, as always not being observent. Good catch, do you any sites that have practice problems similiar to this ?

Thanks
 

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