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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Definitions:

Independent Variables

Variables in an equation or model that are assumed to influence or cause changes in dependent variables.

Regression Model

A statistical tool used to predict the value of a dependent variable based on the value(s) of one or more independent variables.

Multicollinearity

A statistical phenomenon where several independent variables in a regression model are highly linearly related.

Dependent Variable

In statistical modeling, this is the variable that is being tested and measured to see if it is influenced by one or more independent variables.