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Set of elementary functions is closed under

  • A.logical operation
  • B.Arithmetic operation
  • C.delta operation
  • D.numeric operation

Answer: B

The elementary functions - polynomials, exponentials, logarithms, trigonometric functions and their inverses - are closed under arithmetic operations and composition: adding, subtracting, multiplying, dividing or composing two of them always gives another elementary function.

They are not closed under integration, which is why \( \int e^{-x^{2}}dx \) escapes the class altogether.

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