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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Sep 2007 20:09:51 IST
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23 Sep 2007 20:16:51 IST
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answer is 1
as limx->a sin f(x)/f(x)=1
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25 Sep 2007 00:08:03 IST
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Consider a right angled triangle with hypotenuse=h, perpendicular=p and angle x.
For very small x (x tends to 0) :
arc length = perpendicular
hx = p
x = p/h = sinx
Hence when x tends to x = sinx
[x] [0] sinx/x = 1
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Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
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25 Sep 2007 09:52:15 IST
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consider an arc pq of a circle of radius r . 2x be the angle it subtends at the centre .
chord pq=2rsinx
arc pq = 2xr
as x tends to 0 arc pq tend to chord pq ie sinx/x tend to 1
limsinx /x =1
x-0
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