Given That $\lim _ { x \rightarrow c } f ( x ) = 9 \text { and } \lim _ { x \rightarrow c } g ( x ) = 6$

question 172

Multiple Choice

Given that $\lim _ { x \rightarrow c } f ( x ) = 9 \text { and } \lim _ { x \rightarrow c } g ( x ) = 6$ ,find $\lim _ { x \rightarrow c } [ f ( x ) + g ( x ) ] ^ { 2 }$ .

• A)486
• B)324
• C)225
• D)108
• E)limit does not exist

---

Definitions:

Trend Component

An underlying pattern in data that shows a persistent, general direction of movement over time.

Simple Exponential Smoothing

A time series forecasting method for univariate data that applies decreasing weights to past observations as they age.

Mean Absolute Deviation

A statistical measure of the dispersion or variability in a data set, calculated as the average distance between each data point and the mean of the data set.

Mean Squared Error

A measure of the average of the squares of the errors or deviations, that is, the difference between the estimator and what is estimated.