Multivariable Function Limit by Squeeze Theorem

  • #1
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...1ZDktZmVlYjA4MTQxNzE2&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.
 
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  • #2
benorin
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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.
 

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