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fulltilt
 one year ago
lim of x as sin(3x)/(2x) approaches 0
fulltilt
 one year ago
lim of x as sin(3x)/(2x) approaches 0

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.1do you know how to evaluate \[\lim_{u \rightarrow 0}\frac{\sin(u)}{u}?\]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1This limit should have been already introduced to you by the squeeze theorem (or at least this is the first way I learned what the above limit is) \[\lim_{u \rightarrow 0}\frac{\sin(u)}{u}=1\] commit this limit to memory it will be useful let's take this limit and see if i can give you a hint on how to do your problem since there is a 3x inside that sin let's let u equal 3x and if u goes to 0 then 3x goes to 0 since u=3x and since 3 doesn't go to 0 then the x must go to 0 so anyways \[\lim_{x \rightarrow 0}\frac{\sin(3x)}{3x}=1 \] try to use this limit here for your problem you may find it necessary to multiply by a 1 to do so
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