Calculus - Maclaurin's Theorem Application
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Questions and Answers

What is the first term in the Maclaurin series expansion for $log sec x$?

  • $ rac{1}{12}x^4$
  • $0$
  • $ rac{1}{45}x^6$
  • $ rac{1}{2}x^2$ (correct)
  • What is the coefficient of $x^4$ in the series expansion of $log sec x$?

  • $ rac{1}{2}$
  • $ rac{1}{12}$ (correct)
  • $ rac{1}{60}$
  • $ rac{1}{30}$
  • Which expression represents the pattern in the series expansion of $log sec x$?

  • Fractions with prime denominators
  • Even powers of $x$ with denominators as multiples of 3 (correct)
  • Fractions with odd denominators
  • Odd powers of $x$ only
  • What is the general form of the $n^{th}$ term in the series expansion of $log sec x$?

    <p>Coefficient depending on $n$, times $x^{2n}$</p> Signup and view all the answers

    Which of the following best describes the convergence of the series expansion of $log sec x$?

    <p>Converges only for small values of $x$</p> Signup and view all the answers

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