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lim x>0 [(3sin4x)/(sin 3x)] = 4 lim x>0 [(sin 4x/4x)x(3x/sin3x)]
How is this true?
 one year ago
 one year ago
lim x>0 [(3sin4x)/(sin 3x)] = 4 lim x>0 [(sin 4x/4x)x(3x/sin3x)] How is this true?
 one year ago
 one year ago

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hartnnBest ResponseYou've already chosen the best response.2
to get 4x in the denominator, 4x is multiplied in numerator and denominator. got some idea?
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
Multiply the whole thing by (12x/12x). rearrange.
 one year ago

dumbcowBest ResponseYou've already chosen the best response.0
you can also use L'Hopitals Rule Take derivative of both top and bottom, then reevaluate the limit
 one year ago

rainbow22Best ResponseYou've already chosen the best response.0
But it would be undefined if I took the limit of the bottom
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
Always with l'Hopital's. You'd think it was the only thing anyone ever retained from calc. class.
 one year ago

dumbcowBest ResponseYou've already chosen the best response.0
haha..yeah pretty much
 one year ago

rainbow22Best ResponseYou've already chosen the best response.0
I haven't learned it yet :(
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
They're learning about sinc(x) here anyway ... that's a few lectures before the class on l'Hopital's.
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
dw:1347162711646:dw got it now?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
just use sin t / t when limit t>0 = 1 formula.
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
@hartnn what did you multiply by? It's cut off in the sketch.
 one year ago

rainbow22Best ResponseYou've already chosen the best response.0
Why is it that .... the 4 is moved outside the limit?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
multiplied by 4x in num and denom, and it can be seen,iguess
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
the 4 is constant and constants can be moved outside the limit
 one year ago

rainbow22Best ResponseYou've already chosen the best response.0
dw:1347163083569:dw
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
now 12x / sin 3x can again be written as 4 * (3x/sin 3x) and using same limit again its 4*1= 4 ok?
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.1
dw:1347163221313:dw
 one year ago

rainbow22Best ResponseYou've already chosen the best response.0
Oh, I get it now! Thank you guys SO MUCH!
 one year ago
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