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![[Post New]](/templates/default/images/icon_minipost_new.gif) 4 Apr 2007 21:25:29 IST
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Evaluate: [n] [infinity] { 1/2(tan x/2) + 1/22 (tan x/22) + 1/23(tan x/23).......1/2n(tan x/2n)}
[ans: 1/x - cotx]
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 4 Apr 2007 22:02:48 IST
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i dunno the answer to dis deadly question ,but tell me ,is it objective ??
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light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 11:41:45 IST
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no its not objective...
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 14:00:54 IST
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[n] [infinity] { 1/2(tan x/2) + 1/2 2 (tan x/2 2) + 1/2 3(tan x/2 3).......1/2 n(tan x/2 n)} Adding and subtracting 1/2ncotx/2n Now, We know that cotx-tanx=2cot2x Here, - 1/2ncotx/2n+1/2ntanx/2n = -1/2n-1cotx/2n-1 Doing thus all the way in the problem, we get left with [ n] [infinity ] - cotx +1/2 ncotx/2 n = - cotx +[ n] [ infinity] 1/2 ncotx/2 n = - cotx + 1/x { On applying the limits} = 1/x - cotx ~Cheerio!!!!!
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Talk less work more!! {To be simplistic and 2 gain respect}
Eat less work more!!! {To "build" ur body}
Work less Do more!!! {2 make ur life big}
don't get scared !!!
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 17:42:35 IST
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How did u solve that uday??
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 17:49:29 IST
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i'm editing the post
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Talk less work more!! {To be simplistic and 2 gain respect}
Eat less work more!!! {To "build" ur body}
Work less Do more!!! {2 make ur life big}
don't get scared !!!
 |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 18:14:41 IST
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Got it man.. I just dont realise when to use that identity cotx-tanx=2cot2x
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2007 19:10:18 IST
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Well done Uday.
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Sudeep Kumar
(B tech, IITd)
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