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Math Help - Show that x --> sin^2 is.....

  1. #1
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    Question Show that x --> sin^2 is.....

    Hi,

    Can anyone help to provide solution for the question:


    Show that <br />
x \rightarrow \sin^2(x)<br />
is continuous for every x


    Request you to help asap.


    Best Regards,
    Lalit Chugh
    Last edited by CaptainBlack; June 19th 2006 at 10:02 PM.
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  2. #2
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    Quote Originally Posted by lalitchugh
    Hi,

    Can anyone help to provide solution for the question:


    Show that <br />
x \rightarrow \sin^2(x)<br />
is continuous for every x


    Request you to help asap.


    Best Regards,
    Lalit Chugh
    Since,
    \lim_{x\to c}\sin x=\sin c we know that sine is countinous. Now, the product of any two countinous functions at a point is countinous at that point. Because, \sin^2x=\sin x\cdot \sin x
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