Posted by **Jen** on Friday, December 8, 2006 at 1:53pm.

How do I know if the limit of a function exists or not from that function's graph. Thanks.

It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there may be other types of limiting behavior that would be harder to detect graphically.

The limit from the right must equal to the limit from the left, the function must be continuous, and f(x) must exist.

SOmething along those lines.

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