anjali_pant
Show , lim x->0 ( sin 1/x) not equal to 0
use epsilon delta method
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FoolForMath
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it's lies in the interval -1,1 isn't ?
anjali_pant
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nothing like that , prove by epsilon delta , thats all i know ! :p
FoolForMath
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LOL!! Nice :))
anjali_pant
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LOL ! :p
anjali_pant
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is the ans there at this link ?
experimentX
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it says that limit is undefined
FoolForMath
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it's DNE!! :D
anjali_pant
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but is it explained ?
FoolForMath
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Nopes.
anjali_pant
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lol ! I also know the ans , but the prob is explanation ! :p
FoolForMath
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This has a somewhat rigorous proof
anjali_pant
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really ???
FoolForMath
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Yes really!! :D
anjali_pant
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thnksss !!!!! :->>
FoolForMath
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Btw nice problem!
anjali_pant
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I have many lyk these ! epsilon delta is really gettn on my nerves ! :p
FoolForMath
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you are studying single variable or multivariate?
anjali_pant
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both ! Actually in eco(h) , maths is subsi ! so its not core maths , but yea its maths , so bound to study ! :p
FoolForMath
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lol, great :D :)) I wish I could help you more on epsilon delta proofs my current syllabus only requires to get the answer any how any ways ... so I tend to avoid rigorous stuffs.
anjali_pant
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Lucky u ! :>
FoolForMath
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lol, I have many many others things to study so not that :P
eliassaab
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Hint if you take the sequence \[ x_n = \frac{2}{(2n+1)\pi}\]
The sequence \[ x_n\] converges to zero but
\[ \sin\left ( \frac 1{x_n} \right)=\pm 1\]