If $\displaystyle A= \lim_{x \to \frac{\pi}{2}}\frac{1-sin^{\lambda+\mu}x}{\sqrt{(1-sin^\lambda x).(1-sin^\mu}x)}$ where $\displaystyle \lambda,\mu>0,$ Then find $\displaystyle A=$
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Originally Posted by jacks If $\displaystyle A= \lim_{x \to \frac{\pi}{2}}\frac{1-sin^{\lambda+\mu}x}{\sqrt{(1-sin^\lambda x).(1-sin^\mu}x)}$ where $\displaystyle \lambda,\mu>0,$ Then find $\displaystyle A=$ You can use L'Hopitals Rule. Have you tried that?
but Using L.Hospital this is very Complicated.....
The solution is $\displaystyle \displaystyle\frac{\lambda+\mu}{\sqrt{\lambda\mu}}$ The only way I see you bringing the lambda and mu down is by applying the rule.
Last edited by dwsmith; Jan 14th 2011 at 09:36 PM. Reason: forgot the word down
Thanks for answer... now I am trying once again........
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