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![[Post New]](/templates/default/images/icon_minipost_new.gif) 9 Nov 2007 14:47:21 IST
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9 Nov 2007 15:07:41 IST
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let lt = limit(x tends to 0)....
the given exp = lt (2xtanx/(1-tan2x) - 2xtanx)/4sin4x.......as tan2x=2tanx/(1-tan2x)
= lt 2xtan3x/(1-tan2x)4sin4x
=lt 2xsin3x*cos2x/(cos3x*cos2x*4sin4x).......as cos2x-sin2x=cos2x
=lt 2x/sin4x
= lt 4x/2*sin4x = 1/2.......!!!!!!!
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The inevitable truth of life.....everyone in our life is going 2 hurt sooner or later......u just have 2 realise who is worth.....
the PAIN or the PERSON...!!! |
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9 Nov 2007 15:34:53 IST
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Well done Nivedh.
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Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
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