• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Multivariable Function Limit by Squeeze Theorem

I have uploaded my question along with all of my work to Google Docs as a PDF, it can be found https://docs.google.com/fileview?id=0B35_M3cbY5nxMTE5Y2NjMzgtYzQ0MC00YmNjLTg1ZDktZmVlYjA4MTQxNzE2&hl=en&authkey=CL-llawP", which is why I did not follow the template provided. (I already had it in a PDF :$)

I am curious if it is appropriate to assume that r^2*cos^4(theta) goes to zero when I am trying to find the minimum of the denominator. (You will see what I am talking about once you get to the step.) If you don't follow my work I'll be happy to explain my thought process.
 
Last edited by a moderator:

benorin

Homework Helper
1,059
9
Your work is perfect, the assumption is valid since [tex]| \cos\theta | \le 1[/tex] and likewise for the sine function. You can save some work by working the inequality a little before switching polar.
 

Related Threads for: Multivariable Function Limit by Squeeze Theorem

Replies
5
Views
2K
  • Posted
Replies
5
Views
528
  • Posted
Replies
4
Views
3K
Replies
2
Views
11K
Replies
2
Views
2K
Replies
3
Views
4K
Replies
1
Views
776

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top