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Questions and Answers
What is the first term in the Maclaurin series expansion for $log sec x$?
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 $log sec x$?
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 $log sec x$?
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 $log sec x$?
What is the general form of the $n^{th}$ term in the series expansion of $log sec x$?
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Which of the following best describes the convergence of the series expansion of $log sec x$?
Which of the following best describes the convergence of the series expansion of $log sec x$?
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