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

Question

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The given series is the Taylor series for $f ( x ) = \sqrt { 4 - x }$ at $x = 0$.

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

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