Use polar coordinates to find the limit

Faka
Messages
25
Reaction score
0
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)]
 

Attachments

  • Limit.jpg
    Limit.jpg
    2.6 KB · Views: 568
on Phys.org
What steps have you made so far?
 
I've done this so far. I do not know how to determine what the limit is.
 

Attachments

  • Limit 2.jpg
    Limit 2.jpg
    7.2 KB · Views: 991
Looks like a continuous function of r to be, what are the limits of continuous functions?
 
what do you mean exactly?
 
I hope this is right :smile:
 

Attachments

  • Limit 3.jpg
    Limit 3.jpg
    8.6 KB · Views: 1,267

Similar threads

  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
2K
  • · Replies 24 ·
Replies
24
Views
4K
Replies
6
Views
2K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
7
Views
2K