shrejansstSop shrejansstSop

30-11-2016
Mathematics

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lim -> 0 sin(2x) /(x*cos(x) )

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Verified Answer :

syed514 syed514

06-12-2016

sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(xcos(x) =2sin(x)cos(x)/xcos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0

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