Como provar que nenhum polinômio tem e como raiz?

In this video, we rigorously prove that Euler's number (e ≈ 2.718...) is a transcendental number—that is, it is not a root of any polynomial with integer coefficients, regardless of the degree. We begin by understanding the difference between algebraic numbers (such as √2, i, and roots of polynomials in general) and transcendental numbers, and then we construct the classic proof step by step using: ✔️ Proof by contradiction ✔️ Gamma function and improper integrals ✔️ Divisibility arguments with prime numbers ✔️ Limit estimates with factorials 📘 Having trouble with math?📘 I give private lessons in Physics and Mathematics for High School, Engineering, and STEM fields. 👉 Contact us: https://canalphysis.carrd.co/ 📘 STUDY MATERIALS 📘 ➤ Complete Guide to Exact Sciences (Books and Materials) 👉 https://pine-crepe-676.notion.site/Gu... ➤ List of leveling exercises in Calculus 1 👉 https://drive.google.com/file/d/1oacv...