Use polar coordinates to find the limit

[Faka]

Hi!
Is there somebody, who can help me with this exercise:
"Use polar coordinates to find the limit. [If (r, θ ) are polar coordinates of the point (x,y) with r ≥ 0, note that r --> 0⁺ as (x,y) --> (0,0)]

 

[hunt_mat]

What steps have you made so far?

 

[Faka]

I've done this so far. I do not know how to determine what the limit is.

 

[hunt_mat]

Looks like a continuous function of r to be, what are the limits of continuous functions?

 

[Faka]

what do you mean exactly?

 

[Faka]

I hope this is right