Find the Maclaurin Series for the Function $$f ( x ) = \cos \left( x ^ { 17 / 2 } \right)$$

question 137

Multiple Choice

Find the Maclaurin series for the function $$f ( x ) = \cos \left( x ^ { 17 / 2 } \right)$$

• A) \(\cos \left( x ^ { 17 / 2 } \right) = 1 - \frac { x ^ { 17 } } { 2 ! } + \frac { x ^ { 34 } } { 4 ! } - \cdots\)
• B) \(\cos \left( x ^ { 17 / 2 } \right) = x - \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 4 } } { 4 ! } - \cdots\)
• C) \(\cos \left( x ^ { 17 / 2 } \right) = x + \frac { x ^ { 17 } } { 17 ! } + \frac { x ^ { 34 } } { 34 ! } + \cdots\)
• D) \(\cos \left( x ^ { 17 / 2 } \right) = 1 + \frac { x ^ { 17 } } { 2 ! } + \frac { x ^ { 34 } } { 4 ! } + \cdots\)
• E) \(\cos \left( x ^ { 17 / 2 } \right) = x - \frac { x ^ { 17 } } { 17 ! } + \frac { x ^ { 34 } } { 34 ! } - \cdots\)

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