Help with trigonometric limits.

label Calculus
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What is the limit as x approaches zero of (x-xcosx)/(sin^2(3x))?

Sep 9th, 2015

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 9th, 2015

Thank you very much! I just have one question, and apologies if it's a dumb one, but, in the step where you multiply (x-x)cosx/1 by 2/(1-cos6x), why does (1-cos2x) end up in the numerator? I would have expected it to multiply out to 2((x-x)cosx)/(1-cos6x).

Sep 9th, 2015

Take it this way:

(a x b) x (c/1)  x d/ (e-f)

= c(ab)/1  x (d)/ e-f


See e-f becomes a denominator. Its just simple multiplication and division

Sep 9th, 2015

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Sep 9th, 2015
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Sep 9th, 2015
Sep 25th, 2017
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