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exponential series

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/

翻译: 由形如 x^n / n! 的项(n 从 0 到无穷)相加而成的数学级数,它收敛于指数函数 e^x。

1 个条目

phrase

/ˌɛkspəˈnɛnʃəl ˈsɪəriːz/C1formalscientific
  • zh由形如 x^n / n! 的项(n 从 0 到无穷)相加而成的数学级数,它收敛于指数函数 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.

    zh指数级数

    • 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.