Determine the First Three Non-Zero Terms of the Taylor Series $f ( x ) = x \cos x - \sin x$

question 96

True/False

Determine the first three non-zero terms of the Taylor series at x = 0 for $f ( x ) = x \cos x - \sin x$ .
Is $\frac { ( 3 ! - 2 ! ) x ^ { 3 } } { 2 ! 3 ! } + \frac { ( 5 ! - 4 ! ) x ^ { 5 } } { 4 ! 5 ! } + \frac { ( 7 ! - 6 ! ) x ^ { 7 } } { 6 ! 7 ! }$ the correct answer?

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