# At a Glance - Limits at Infinity

Newsflash: when taking limits we don't have let *x* approach some fixed number. We can also see what happens as *x* blows up to ±∞.

#mindblown

We write these limits as

These limits look at where the function *f*(*x*) is attempting to reach as *x* moves further and further along the number line. If the limit exists, we say that the limit is a **horizontal asymptote** of *f*. Before we go into more depth with the function side of things, we'll look at some silly examples.

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