Let’s take the following sequence limit approaching infinity: (1/{12}+1/{23}+1/{3*4}+…+1/{(n-1)*n}).
In the problem, we kind of feel that we need to use sequence sum formulas (arithmetic or geometric), but unfortunately, this sequence is neither arithmetic nor geometric… So what to do?
For the limits of many sequences with logarithms, you can confidently use the transformations and formulas for logarithms learned in high school.
Learn step by step how to solve unconventional sequence limits using the formula for the number e. Examples, explanations, and methods for solving equations that help understand how to apply the formula for the number e in various situations. Ideal article for students and math enthusiasts.
Learn how to solve problems with sequence limits correctly when the number e is involved. The article discusses problems and differences arising from polynomials raised to powers, and when and how to use appropriate formulas for limits with the number e. You’ll also understand how routines in limit calculations can lead to mistakes and how to avoid them.
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