How do you find the limit of:

1(1 - (1/k))/2! as k increased with no bound?

I know the answer is 1/2!

But how do you get there? Are you supposed to divide both top and bottom by k?

Use an intuitive approach , also 2! = 2

as k -->∞ , 1/k ---> 0

so you would have
lim 1(1 - 1/k)/2 as k --> ∞
= 1(1 - 0)/2
= 1/2