Asked by beatriz

lim f(x) sin 3x / x
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Answered by drwls
You can use the following Taylor series expansion for sin(3x):

sin 3x = 3x -(1/2)(3x)^2 + (1/3!)(3x)^3 -...

Divide that by x and you get a limit of 3.

You could also use L'Hopital's rule.
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