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# Functions, Graphs, and Limits

# Limits at Infinity

Vertical asymptotes occur where a function *f*(*x*) has a limit of infinity - that is, at values of *a* for which

We can also take limits as *x* goes to ∞ or -∞, written

These limits look at where the function *f*(*x*) is attempting to reach. Before we go into more depth with the function side of things, we'll look at some silly examples.