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Determine the First Four Non-Zero Terms of the Taylor Series x3x ^ { 3 }

Question 50

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Determine the first four non-zero terms of the Taylor series at x = 0 for f(x) = sin x3x ^ { 3 } .
Is f(x)=x3+x93!+x155!+x217!f ( x ) = x ^ { 3 } + \frac { x ^ { 9 } } { 3 ! } + \frac { x ^ { 15 } } { 5 ! } + \frac { x ^ { 21 } } { 7 ! } the correct answer?

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