ONUS: Limit Computation: Evaluating xy/(x^2+y^2) at Origin

[brad sue]

Hi ,
I have difficulty to find the folowing questions about limit computation.
IF lim xy/(x^2+y^2) ( when (x,y)---(0,0))
Evaluate the limit as (x,y) approaches the origin along:
a) The spiral r=0, θ >0
b) The differentiable curve y=f(x), with f(0)=0
c) The arc r=sin(θ )
Thank you
B

 

[brad sue]

Hi ,
I have difficulty to find the folowing questions about limit computation.
IF lim xy/(x^2+y^2) ( when (x,y)---(0,0))
Evaluate the limit as (x,y) approaches the origin along:
a) The spiral r=0, θ >0
b) The differentiable curve y=f(x), with f(0)=0
c) The arc r=sin(θ )
Thank you
B

ANy help please?

 

[1800bigk]

Have you tried converting your expression to polar?

 

[Hurkyl]

Have you yet done any work on the problem? There should be at least one thing you can do that is very clear...

 

[brad sue]

Have you yet done any work on the problem? There should be at least one thing you can do that is very clear...

Sorry I found out with the polar coordinates.I am ok now Sorry about everything.

B