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Use L'Hostpial rule to find the following limit:
Lim x> 0 of 6x/7arctan(4x)
I did the work And i get the following 6(1+96x^2) / 7 and i end up with 6/7 however that's not the right answer, any insight on where I went wrong?
 one year ago
 one year ago
Use L'Hostpial rule to find the following limit: Lim x> 0 of 6x/7arctan(4x) I did the work And i get the following 6(1+96x^2) / 7 and i end up with 6/7 however that's not the right answer, any insight on where I went wrong?
 one year ago
 one year ago

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Yahoo!Best ResponseYou've already chosen the best response.0
Differentiate Numerator and Denominator Seperately...)
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.1
This is what I did..... top gives 6 and denominator gives 7 1/1(4x)^2... therefore you get 6 ( 1(4x)^2)/7 no?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
l'Hopital's rule:\[\lim_{x \rightarrow0}\frac{ 6x }{ 7\arctan4x }=\]\[\lim_{x \rightarrow 0}\frac{ (6x)' }{ (7arctan4x)' }= \]\[\lim_{x \rightarrow 0}\frac{ 6 }{ 7* \frac{ 1 }{ 1+(4x)^2}*4 }=\]\[\frac{ 6 }{ 7*1*4 }=\frac{ 6 }{ 28 }=\frac{ 3 }{ 14 }\] You have to multiply with 4 in the denominator, because of the Chain Rule... Hope this helps! ZeHanz
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.1
I forgot the chain rule... god thank you so much! that was really helpful, remembering that trig function are included in the chain rule just made me solve half my problems again! have a good day
 one year ago
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