Hello, and thanks for the help in advance.

I have two limits I must evaluate on a practice exam, and am having a little trouble. They are both complicated enough that you cannot simply plug in the value the variable is approaching. They are listed below.

limit

__sin(4x)__ As x -> 0

.........2x

limit

__1 - cos(t)__ As t -> 0

.........t^2

(The periods are simply so that the fractions look right.)

I know you can pull 1/2 out in front of the limit for the first example (with x), but other than that I am at a loss as to what to do. I can do more complicated things...it's just been a while since I had to evaluate limits like this. Maybe it's a few simple things I'm forgetting?

Thanks again, I hope the way I've typed them is legible.