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anonymous

  • 5 years ago

lim(x to 0)[(cosx)/x]=

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  1. myininaya
    • 5 years ago
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    its undefined from the right it goes to infinity from the left it goes to -infinity

  2. anonymous
    • 5 years ago
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    Use the squeeze theorem \[\lim_{x\to\infty}\cos((\pi/x)-x)/x = \lim_{x\to\infty}sin(x)/x = 0 \] It follows that; \[\lim_{x\to\infty}\cos(x)/x = 0 \]

  3. anonymous
    • 5 years ago
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    Sorry bout that It is undefined, myininaya is right

  4. anonymous
    • 5 years ago
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    the limit doesnt exist

  5. anonymous
    • 5 years ago
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    yep it doesn't exist would be an accurate way of saying it.

  6. anonymous
    • 5 years ago
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    Be careful. As x approaches zero, (cos x)/x gets larger and larger. So limit is +infinity.

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