# Math Help - Limit w/ Inequality and Domain - Need some help!

1. ## Limit w/ Inequality and Domain - Need some help!

Hello all! Just joined this forum today so hopefully you guys can guide me towards the right answer!

I'm in Calculus I right now and I am doing very well, but this problem has me a bit stumped. I tried applying the Sandwich Theorem but I can't figure out where to go from here!

Here is what I have:

Suppose that

Find the limit of f(x) as x approaches 0.

If I just substitute 0 for x, I get 1≤f(x)≤1, which would make the answer 1. Is that even remotely correct? Or am I making this WAY more complicated than it really is?

We say that as x approaches 0, $1-x^4$ approaches 1.
As x approaches 0, $\sec(x)$ approaches 1.
Therefore, as x approaches 0, $f(x)$ approaches 1.