Used Weierstrass's definition of a limit to prove that the limit, as x---> 1, of (x6-1)/(x-1) is equal to 6.
Then stated a proposition listing some properties of limits. I didn't bother deriving/proving this proposition from Weierstrass's definition.
Instead of giving a proof, I illustrated how to apply the proposition to establish/prove certain limits.
The lecture finished early to allow Kirsten Pfeiffer to give an introduction to the SUMS facility.
For more details on the formal definition of a limit, read Section 2.4 in Stewart.