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February 13th, 2014, 10:00 AM   #1
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Multivariable Calculus problem



I set -1<=cos<=1 and get the limit of the whole thing is 0. But it look like it may be DNE on the graph. Can someone help me?


This looks like it has limit =0 but I'm not sure, I tried approaching 0,0 in different ways and they came out to be 0. But I don't know how to prove that it is.

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February 13th, 2014, 10:37 AM   #2
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Re: Multivariable Calculus problem

Please help me
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February 13th, 2014, 12:16 PM   #3
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Re: Multivariable Calculus problem

Have you tried to express the functions in polar coordinates? In that way it should be easier to see what's going on.
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February 13th, 2014, 01:28 PM   #4
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Re: Multivariable Calculus problem


I don't think it's gonna go anywhere
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February 13th, 2014, 01:32 PM   #5
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Re: Multivariable Calculus problem

Quote:
Originally Posted by maluita659
Please help me
The limit is 0. (What is DNE?)
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February 13th, 2014, 02:10 PM   #6
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Re: Multivariable Calculus problem

Quote:
Originally Posted by mathman
Quote:
Originally Posted by maluita659
Please help me
The limit is 0. (What is DNE?)
It is does not exist.
Thank you
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February 13th, 2014, 04:08 PM   #7
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Re: Multivariable Calculus problem

Can you show me how to do it please?
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February 15th, 2014, 01:15 PM   #8
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Re: Multivariable Calculus problem

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Originally Posted by maluita659
Can you show me how to do it please?
Your original proof is correct. You have a product of two terms where one -> 0 and the other has absolute value bounded by 1. The product -> 0.
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