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![[Post New]](/templates/default/images/icon_minipost_new.gif) 9 Feb 2007 16:03:30 IST
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[x ] [0 ] 1/x2_1/cot2x
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TRUTH IS FAR STANGER THAN IMAGINATION |
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9 Feb 2007 16:05:16 IST
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answer it as quick as possible
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TRUTH IS FAR STANGER THAN IMAGINATION |
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9 Feb 2007 16:10:27 IST
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could u plz type the denominator correctly?
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never give up in life.keep trying till you succeed.don't forget to rate my answers if u find them to be correct as it will only boost my confidence.... |
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9 Feb 2007 17:06:33 IST
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at x=0 f(x) will take an indeterminate form
so by using the formula lim f(x)= lim f(a+h)
x-->a h-->0
let x+a+h therefore h-->0 when x-->a
and then solve the question by applying limits...
the answer u get is 0
plzz let me know if i'm wrong
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i ain't a quitter! |
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9 Feb 2007 19:32:32 IST
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hey toshi,i guess the ques. is lim x tends to 0 1/x^2-1.cot2x which is lim x tends to 0 tan2x/x^2-1.if we substitute the limit,it comes out to be 0/-1 which is not an indeterminate form in maths.hence,l'hospital rule can't be applied... hope u got it.....
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never give up in life.keep trying till you succeed.don't forget to rate my answers if u find them to be correct as it will only boost my confidence.... |
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9 Feb 2007 21:26:25 IST
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yeah right nishant..nd i even got the question wrong....thnx! thought it's cot^2x ..i'm still not clear with his question
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i ain't a quitter! |
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10 Feb 2007 14:21:33 IST
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sorry friends there is some printing error. i will read out the question, it is limit of x tends to 0,1 upon x square - 1 uponcot square x. the answer given is2/3.
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TRUTH IS FAR STANGER THAN IMAGINATION |
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14 Feb 2007 19:53:27 IST
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apply L- hospitals rule of differentiation to get the required result
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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17 Feb 2007 02:19:22 IST
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could i know sir, why we use L'Hospitals' rule
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Zindagi doosron ke pyaar ke saaye mein reh kar jiyo
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