Using polar corrdinates, evaluate

so ,

Since hence limit=0

Can I ask why is that so?

when x,y goes to 0 respectively, which variable goes to 0? r or ?

Printable View

- Oct 17th 2009, 06:02 AMnoob mathematicianFinding the limit
Using polar corrdinates, evaluate

so ,

Since hence limit=0

Can I ask why is that so?

when x,y goes to 0 respectively, which variable goes to 0? r or ? - Oct 17th 2009, 06:14 AMPlato
- Oct 17th 2009, 06:16 AMScott H
Do you mean

If so, then using the Pythagorean identity , we obtain

Now notice that is the variable that goes to (as we're approaching the origin), and

Edit: Added more useful inequality. - Oct 17th 2009, 10:09 AMnoob mathematician
- Oct 17th 2009, 11:40 AMScott H