Limits: Exact Value or an Approximation?

Wed, 29 Apr 2026 16:27:04 +0100

Limits: Exact Value or an Approximation?

Probably the majority of people will say that the limit is an exact construct and not an approximation but instead a unique real number. For the sake of simplicity we will keep it in the real number domain and use polynomials as examples. And indeed, this statement is correct. But books and intuitive explanations always talk about arbitrarily close etc. But arbitrarily close still is not exactly at the point right? It is just arbitrarily close ¯\_(ツ)_/¯
We will try to convince even the biggest skeptic (me) that the limit is indeed an exact number and not just an approximation. For this, it might make sense to look at the derivative formula as it is intuitively relatively clear and makes up for great insights.

Rust Compiler Contribution

Tue, 25 Jan 2022 20:03:04 +0100

To gain more experience in software-engineering I was playing around with the thought to contribute to open-source software. Since I started reading “Programming Rust” by O’Reilly to get started with a low-level language, I got also interested in understanding what happens under the hood when we execute or compile a program.

Therefore, I thought it might be a good idea to look into the Rust Programming language itself. Coincidentally, I found this video from Esteban Kuber, which ultimately made sure to check out the Rust compiler.

Posts on Miguels Blog

Limits: Exact Value or an Approximation?

Limits: Exact Value or an Approximation?

Rust Compiler Contribution