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anonymous
 4 years ago
limit as x approaches 0 of (sin 5x)/7x?
anonymous
 4 years ago
limit as x approaches 0 of (sin 5x)/7x?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I've considered multiply the numerator by 5x/5x so that sin x will become 1 as x approaches zero...but doesn't the problem then become 5x/7x and they both go to zero?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 0}\frac{\sin(5x)}{5x} =1\] right? so how do we get this in our problem? \[\frac{5}{7}\lim_{x \rightarrow 0}\frac{\sin(5x)}{5x}\]

cathyangs
 4 years ago
Best ResponseYou've already chosen the best response.0wouldn't there be no limit? *confuzzled* O.o

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{5}{7}(1)=\frac{5}{7}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Sorry, is there an intermediate step missing?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0You can verify that myininaya is right very quickly if you know L'hospital's rule.

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.1all i did was multiply 5/5 @ josh
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