Tricky test 2 infinity4/3/2024 The y-values get closer and closer to zero. Notice what happens as x gets bigger and bigger. But look at that limit x isn't approaching some number, it's just going to go on and on and on forever. After that, we'll cover a couple of complications and how to fix them, so you can really wow your friends at parties. Instead of wasting your time and ours, we'll just show you each one in a sample problem. This idea is known as the end behavior of a function, and that is what these limits at infinity will help us describe.įor the most part, these limits fall into three categories. We're talking about x as it gets really, really big or really, really small. However, even that is puny compared to some limits, because they can go to infinity. But then we could say that the sky covers pretty much the entire universe. What's the biggest thing you've ever seen? The world's largest rubber band ball? Maybe the ocean? Actually, the sun is pretty huge ( understatement), and we see that every day.
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