Proving continuity of sin x / x at x equals 0

[Joe20]

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

 

[Olinguito]

Another hint:

Spoiler

Use the well-known result $\displaystyle\lim_{x\to0}\frac{\sin x}x=1$.

 

[LCKurtz]

Another hint:

Spoiler

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.