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Taylor expansion definition of the exponential function

The Taylor series expansion is the most direct definition of the expontial as it obviously satisfies the exponential function differential equation:
  • the first constant term dies
  • each other term gets converted to the one before
  • because we have infinite many terms, we get what we started with!
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  1. Definition of the exponential function
  2. Exponential function
  3. Exponentiation
  4. Numeric function
  5. Function by signature
  6. Function
  7. Formalization of mathematics
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