ELEGANT Continuous Function PROOF!

Publicado el: 10 octubre 2025
en el canal de: Math Mastery with Amitesh

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If n ≥ 1 is a positive integer, and if f is a continuous real-valued function on the closed interval [0, 1], then we prove that

f(x + 1/n) = f(x)

for some value of x in [0, 1]. The proof is a beautiful application of the intermediate value theorem in calculus, combined with a clever trick. The video is designed for calculus students, and real analysis students, interested in math proofs and creative tricks in calculus. The problem is an exercise in "Calculus" by Michael Spivak.

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En esta página del sitio puede ver el video en línea ELEGANT Continuous Function PROOF! de Duración hora minuto segunda en buena calidad , que subió el usuario Math Mastery with Amitesh 10 octubre 2025, comparta el enlace con amigos y conocidos, en youtube este video ya ha sido visto 4,458 veces y le gustó 177 a los espectadores. Disfruta viendo!

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