Constant Multiple Rule - At A Glance

Check it out: a wild limit appears.

We'll use the Constant Multiple Rule on this limit. The idea is that we can "pull a constant multiple out" of any limit and still be able to find the solution.

Now that we've found our constant multiplier, we can evaluate the limit and multiply it by our constant:

You might be thinking we're as crazy as the day is long, because all we have to really do in this problem is use direct substitution. But what about when we don't actually know the function?

If , what is ?

We couldn't solve this before, but now it's trivial. It can't even make us sweat. What does make us tense up is the Constant Multiple Rule written in formula-speak:

If b and c are constants and  then .

See, doesn't it make your eyes water just looking at it?