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

question 103

True/False

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?

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Bacon's Rebellion

A 1676 uprising in colonial Virginia, led by Nathaniel Bacon, against the colony's government for its failure to protect settlers from Native American raids.

Virginia

A state located in the Southeastern and Mid-Atlantic regions of the United States, known for its significant contributions to the formation of the nation's history and government.

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A religious group in the 16th and 17th centuries advocating for purification of the Church of England from Roman Catholic practices.

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A series of armed conflicts and political machinations between Parliamentarians ("Roundheads") and Royalists ("Cavaliers") over governance and authority in England during the mid-17th century.