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roseflight
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What is the limit of sin(2x)/(3x) as x approaches 0
 one year ago
 one year ago
roseflight Group Title
What is the limit of sin(2x)/(3x) as x approaches 0
 one year ago
 one year ago

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zordoloom Group TitleBest ResponseYou've already chosen the best response.0
Would you like the step by step?
 one year ago

roseflight Group TitleBest ResponseYou've already chosen the best response.0
Yes please
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{\sin(2x)}{3x}=\frac13\cdot\frac{\sin(2x)}x=\frac23\cdot\frac{\sin(2x)}{2x}\]
 one year ago

roseflight Group TitleBest ResponseYou've already chosen the best response.0
Sorry, but I still don't get how that would equal 2/3.
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
did you know that\[\lim_{x\to0}\frac{\sin x}x=1\]?
 one year ago

roseflight Group TitleBest ResponseYou've already chosen the best response.0
Haha I didn't remember that for some reason. Thanks!
 one year ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
how 'bout this then.... \(\large \frac{sin(2x)}{3x}=\frac{2sinxcosx}{3x}=\frac{2}{3}\cdot \frac{sinx}{x}\cdot cosx \)
 one year ago
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