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Find the First Four Non-Zero Terms of the Taylor Series f(x)=4−xf ( x ) = \sqrt { 4 - x }

Question 103

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Find the first four non-zero terms of the Taylor series at x = 0 of f(x)=4−xf ( x ) = \sqrt { 4 - x } .
Is f(x)=2−x4−x232⋅2!−3x3256⋅3!f ( x ) = 2 - \frac { x } { 4 } - \frac { x ^ { 2 } } { 32 \cdot 2 ! } - \frac { 3 x ^ { 3 } } { 256 \cdot 3 ! } correct?

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