limit next

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limit next

Post Admin Thu Jul 21, 2011 8:44 am

$limit next Gif$

Admin: Admin; Posts : 103
Join date : 2011-02-01
Location : India

whatsans

Post mohit Thu Jul 21, 2011 11:59 am

what is its answer sir......

mohit: Guest

$limit next Gif.latex?\hspace{-15}$Let%20$\mathbf{\frac{\pi}{4}-x=t\Leftrightarrow%20x=\frac{\pi}{4}-t}$\\\\\\%20when%20$\mathbf{x\rightarrow%20\frac{\pi}{4}\Leftrightarrow%20t\rightarrow%200}$\\\\\\%20so%20$\mathbf{\lim_{t\rightarrow%200}\left\{\tan\left(\frac{\pi}{4}-t\right)\right\}^{\tan(\frac{\pi}{2}-2t)}}$\\\\\\%20$\mathbf{\lim_{t\rightarrow%200}\left(\frac{1-\tan%20t}{1+\tan%20t}\right)^{\frac{1}{\tan%202t}}}$\\\\\\%20Now%20$\mathbf{t\rightarrow%200\;,\;\;tan%20t\approx%20t\;\;,\;\;\tan%202t\approx%202t}$\\\\\\%20$\mathbf{\lim_{t\rightarrow%200}\left(\frac{1-t}{1+t}\right)^{\frac{1}{%202t}}}$\\\\\\%20$\mathbf{\lim_{t\rightarrow%200}e^{\left\{\left(\frac{1-t}{1+t}\right)-1\right\}.\frac{1}{2t}}}$\\\\\\%20$\mathbf{\lim_{t\rightarrow%200}e^{\left(\frac{-2t}{1+t}\right)$

Admin: Admin; Posts : 103
Join date : 2011-02-01
Location : India

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