How to find the limit as x approaches infinity

We will explore How to find the limit as x approaches infinity can help students understand and learn algebra.

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Limits at Infinity

Here, our limit as x approaches infinity is still two, but our limit as x approaches negative infinity, right over here, would be negative two. And of course, there's many situations where, as you approach infinity or negative infinity, you aren't actually approaching some finite value.
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Introduction to limits at infinity (video)

We can't say what happens when x gets to infinity. But we can see that 1 x is going towards 0. We want to give the answer 0 but can't, so instead mathematicians say exactly what is going on

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