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  • DLS

lim x->0 xsin(1/x)=?

Mathematics
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  • DLS
0
  • DLS
i know its 0 but why..sin(1/x) would be a finite number?if so then why..

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Other answers:

isn't this obvious? as x->0, sin(1/x) wiggles between -1 and +1 and the x at the front kill it.
  • DLS
oh yeah okay :o
also there's another way to do it. substitute t=1/x
you can do this by method sin(x)/x .. and not the least .. you can use L'hopital rule.
  • DLS
yeah,i got it
  • DLS
i thought it had got smt to do with sin inverse x and stuff

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