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Math Help - Limit.

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    Limit.

    If A= \lim_{x \to \frac{\pi}{2}}\frac{1-sin^{\lambda+\mu}x}{\sqrt{(1-sin^\lambda x).(1-sin^\mu}x)}

    where \lambda,\mu>0, Then find A=
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  2. #2
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    Quote Originally Posted by jacks View Post
    If A= \lim_{x \to \frac{\pi}{2}}\frac{1-sin^{\lambda+\mu}x}{\sqrt{(1-sin^\lambda x).(1-sin^\mu}x)}

    where \lambda,\mu>0, Then find A=
    You can use L'Hopitals Rule. Have you tried that?
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    but Using L.Hospital this is very Complicated.....
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    The solution is \displaystyle\frac{\lambda+\mu}{\sqrt{\lambda\mu}}

    The only way I see you bringing the lambda and mu down is by applying the rule.
    Last edited by dwsmith; January 14th 2011 at 09:36 PM. Reason: forgot the word down
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    Thanks for answer...

    now I am trying once again........
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