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NoelGrecoBest ResponseYou've already chosen the best response.0
I don't see any quick way without l'Hopital.
 one year ago

pastaBest ResponseYou've already chosen the best response.0
l'Hopitals has taken me back to the start
 one year ago

2leBest ResponseYou've already chosen the best response.0
If l'Hopital doesn't work the first time but gives you the condition for it again, you can repeat it. You might have better luck the second time around.
 one year ago

skywalker94Best ResponseYou've already chosen the best response.0
One way is to use l'Hopital, but a faster way is to use the linear approximations for sine and tangent. The answer is 1/2.
 one year ago

pastaBest ResponseYou've already chosen the best response.0
THE DIFFERENTIAL IS SEC^2(X)/3+COS(x).numerator is 1 and denominator is 4 answer is 1/4 how did you get 1/2??????
 one year ago

MathPhysicsBest ResponseYou've already chosen the best response.0
pasta! skywalker94 is right! Using l'Hopital, we'll get 1/2. \[\lim_{x \rightarrow 0}(\tan2x/(3x+sinx))=\lim_{x \rightarrow 0}[2(1+\tan^{2}2x)/(3+cosx)]=1/2\]
 one year ago

adi171Best ResponseYou've already chosen the best response.0
use expansion method it is the fastest.... tanx = x + x^3/3............sinx = x  x^3/3!
 one year ago

adi171Best ResponseYou've already chosen the best response.0
and from that the ans is 1/2 Math Physics and skywalker ur right..!!!!
 one year ago
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