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DLS

  • 3 years ago

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

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  1. DLS
    • 3 years ago
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    @experimentX ..

  2. experimentX
    • 3 years ago
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    0

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

  4. experimentX
    • 3 years ago
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    isn't this obvious? as x->0, sin(1/x) wiggles between -1 and +1 and the x at the front kill it.

  5. DLS
    • 3 years ago
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    oh yeah okay :o

  6. experimentX
    • 3 years ago
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    also there's another way to do it. substitute t=1/x

  7. experimentX
    • 3 years ago
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    you can do this by method sin(x)/x .. and not the least .. you can use L'hopital rule.

  8. DLS
    • 3 years ago
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    yeah,i got it

  9. DLS
    • 3 years ago
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    i thought it had got smt to do with sin inverse x and stuff

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