MHB Can Dividing by Sin x Help Prove Continuity at x = 0?

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Not sure how to do this question. Help needed. Thanks
 

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Another hint:
Use the well-known result $\displaystyle\lim_{x\to0}\frac{\sin x}x=1$.
 
Olinguito said:
Another hint:
Use the well-known result $\displaystyle\lim_{x\to0}\frac{\sin x}x=1$.


Given the hint that comes with the problem, I wouldn't think that would be appropriate. Alternatively one might suggest dividing everything by $\sin x$, which seems more in line with the hint.
 
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