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exponential series

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/

1 entry

phrase

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/C1formalscientific
  • ruМатематический ряд, образованный суммой членов вида x^n / n! (где n изменяется от 0 до бесконечности), который сходится к показательной функции 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.

    ruЭкспоненциальный ряд

    • 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.