Complete the Table and Use the Result to Estimate the Limit

question 70

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 0 } \frac { \cos ( 3 x ) - 1 } { 3 x }$
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline f(x) & & & & & & \\\hline\end{array}$

• A) \(- 1\)
• B) \(- 0.5\)
• C) 0
• D) \(0.5\)
• E) 1

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Definitions:

Hyperactive Children

Children who exhibit higher than normal levels of activity and/or impulsivity that may interfere with their ability to complete tasks or engage socially.

Self-directed Speech

Internal or out-loud conversation one has with oneself, often used for self-guidance or problem-solving.

Self-control

The capacity to control our feelings, thoughts, and actions when confronted with challenges and spontaneous desires.

Contrast Assumption

The assumption that objects have only one label. Also known as the mutual exclusivity assumption (if a word means one thing, then it cannot mean another).