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Find the First Four Non-Zero Terms of the Taylor Series f(x)=cos3x+sin2xf ( x ) = \cos 3 x + \sin 2 x

Question 48

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Find the first four non-zero terms of the Taylor series at x = 0 of f(x)=cos3x+sin2xf ( x ) = \cos 3 x + \sin 2 x .
Is 1+2x9x22!8x33!+1 + 2 x - \frac { 9 x ^ { 2 } } { 2 ! } - \frac { 8 x ^ { 3 } } { 3 ! } + \ldots the correct answer?

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