The question:

Find the limit as x tends to 3 for $\displaystyle \frac{\frac{1}{x}-\frac{1}{3}}{x - 3}$

Normally I'd apply l'Hôpital's rule, but we haven't learnt that yet, so I assume they want us to do it algebraically. I'm not sure how to factor it so I can cancel the denominator (that's usually the case for these types of questions).

Any assistance is most welcome. Cheers!