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Math Help - Identity elusive

  1. #1
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    Identity elusive

    Hello


    asked why sin (mx)\approx{mx}


    A greeting and thanks
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Dogod11 View Post
    Hello


    asked why sin (mx)\approx{mx}


    A greeting and thanks
    For small values of x.

    What is \lim_{x\to0}\frac{\sin(mx)}{mx}?
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  3. #3
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    Quote Originally Posted by Dogod11 View Post
    Hello


    asked why sin (mx)\approx{mx}


    A greeting and thanks
    when x is close to 0, \sin(mx) \approx mx because \lim_{x \to 0} \frac{\sin(mx)}{mx} = 1
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  4. #4
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    Quote Originally Posted by Dogod11 View Post
    Hello


    asked why sin (mx)\approx{mx}


    A greeting and thanks

    This is true for very small x.
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  5. #5
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    Hi,


    Thank you very much
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