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To find a slant (or oblique) asymptote, long-divide the numerator by the denominator; ignore the remainder. The polynomial part is your asymptote.
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There is an Important Big Difference between finding the Vertical Asymptote(s) of the Graph of a Rational Function, and finding a Hole in the Graph of that Function. Even with the Modern graphing Calculators that we have, it is very difficult to see or i
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there aren’t that many acquisition loops that really scale. Even when they scale, they eventually asymptote, and companies need to find new ways to grow. This can be new growth loops for the same product, or entirely new products. In this post, I’ll explain how to think about the tim...
SaaS businesses eventually asymptote. Given fixed acquisition, conversion, and churn, there will be a point at which one’s business hits a revenue plateau. This is predictable in advance: The number of customers at the plateau is equal to acquisition times conversion divided by churn rate. ...
The result is the x-coordinate of the hole. Note that it is possible to have more than one asymptote if you have a complex denominator, such as "(x + 1)(x - 1)." In such a case, you would have two x-coordinates: -1 and 1 Plug the answer from Step 3 into the simplified ...
Charles, welcome to the Super Data Science Podcast. It is surreal for me to have you on the show, because I have been a fan of your work for a long time. It's 2024 and I bought The Power of Habit when it came out a dozen years ago, 2012, so I've been a long time fan when...