Divide Numerator and Denominator by the Highest Power of X $\lim _ { x \rightarrow \infty } \sqrt { \frac { 16 x ^ { 2 } } { 3 + 9 x ^ { 2 } } }$

question 31

Multiple Choice

Divide numerator and denominator by the highest power of x in the denominator to find the limit.
- $\lim _ { x \rightarrow \infty } \sqrt { \frac { 16 x ^ { 2 } } { 3 + 9 x ^ { 2 } } }$

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 16 } { 9 }\)
• C) does not exist
• D) \(\frac { 16 } { 3 }\

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Definitions:

Centration

A term from Piaget's theory of cognitive development, describing the tendency to focus on one aspect of a situation while neglecting others.

Decentering

The cognitive ability to consider multiple aspects of a situation rather than focusing on a single perspective.

Conservation

The act of preserving, protecting, or restoring natural environments and their wildlife.

Egocentrism

A cognitive trait where individuals, particularly children in Piaget's preoperational stage, are unable to see perspectives other than their own.