anonymous
  • anonymous
Show , lim x->0 ( sin 1/x) not equal to 0 use epsilon delta method
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
it's lies in the interval -1,1 isn't ?
anonymous
  • anonymous
nothing like that , prove by epsilon delta , thats all i know ! :p
anonymous
  • anonymous
LOL!! Nice :))

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anonymous
  • anonymous
LOL ! :p
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=lim+x-%3E0+%28+sin+1%2Fx%29 seems like undefined
anonymous
  • anonymous
is the ans there at this link ?
experimentX
  • experimentX
it says that limit is undefined
anonymous
  • anonymous
it's DNE!! :D
anonymous
  • anonymous
but is it explained ?
anonymous
  • anonymous
Nopes.
anonymous
  • anonymous
lol ! I also know the ans , but the prob is explanation ! :p
anonymous
  • anonymous
This has a somewhat rigorous proof
anonymous
  • anonymous
This is a simple way to understand:http://mathforum.org/library/drmath/view/53369.html
anonymous
  • anonymous
really ???
anonymous
  • anonymous
Yes really!! :D
anonymous
  • anonymous
thnksss !!!!! :->>
anonymous
  • anonymous
http://www.math.washington.edu/~conroy/general/sin1overx/
anonymous
  • anonymous
Btw nice problem!
anonymous
  • anonymous
I have many lyk these ! epsilon delta is really gettn on my nerves ! :p
anonymous
  • anonymous
you are studying single variable or multivariate?
anonymous
  • anonymous
both ! Actually in eco(h) , maths is subsi ! so its not core maths , but yea its maths , so bound to study ! :p
anonymous
  • anonymous
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.
anonymous
  • anonymous
Lucky u ! :>
anonymous
  • anonymous
lol, I have many many others things to study so not that :P
anonymous
  • anonymous
Hint if you take the sequence \[ x_n = \frac{2}{(2n+1)\pi}\] The sequence \[ x_n\] converges to zero but \[ \sin\left ( \frac 1{x_n} \right)=\pm 1\]

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