Saturday, May 28, 2016

calculus - Limit of a trig function. (Without using L'Hopital)

I'm having trouble figuring out what to do here, I'm supposed to find this limit:




$$\lim_{x\rightarrow0} \frac{x\cos(x)-\sin(x)}{x^3}$$



But I don't know where to start, any hint would be appreciated, thanks!

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analysis - Injection, making bijection

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