How about another limit property? That seems appropriate, for some reason.
Yes, we know that can use direct substitution here, too. However, you can also use the Sum Rule limit property. It says that:
If 
and 
then 
.
In normal human terms, this property basically means that any time we have two functions added together, we can just evaluate each limit and then add the two solutions together. Let's go back to our problem and apply our newfound knowledge.
Boom. We take one limit, and we split it into two smaller, easier to work with ones.
We like smaller, easier to work with problems.