Vocab Bloom Hub

exponential series

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/

Traduction: Série mathématique formée par la somme des termes x^n / n! (où n varie de 0 à l'infini), qui converge vers la fonction exponentielle e^x.

1 entrée

phrase

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/C1formalscientific
  • frSérie mathématique formée par la somme des termes x^n / n! (où n varie de 0 à l'infini), qui converge vers la fonction exponentielle e^x.

A mathematical series formed by the sum of terms of the form x^n / n! (where n ranges from 0 to infinity), which converges to the exponential function e^x.

  1. Mathematical seriesC2formal

    A series of terms derived from the exponential function, typically expressed as the sum of terms of the form x^n / n! for n from 0 to infinity.

    frsérie exponentielle

    • The exponential series converges for all real numbers x.
    • Euler's number e can be defined using the exponential series.
    • The exponential series is fundamental in calculus and analysis.