Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$

question 12

Short Answer

Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$ for $f ( x ) = 5 x ^ { 3 }$ and $g ( x ) = \frac { \sqrt { x ^ { 2 } + 9 } } { 3 x ^ { 2 } }$ .

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Definitions:

Postskeptical Rationalism

A philosophical stance that advocates for the use of reason and evidence after a phase of skepticism, promoting an open-minded but critical approach to understanding.

Strict Dualism

Position 1 in Perry’s model that implies a rigid adherence to authoritarian views and a childlike division between in-group and out-group. Individuals in this stage never think to question their belief that authority embodies rightness.

Multiplicity

The quality of being numerous or having many different elements.

Relativism

is the philosophical concept that views knowledge, truth, and morality as varying depending on culture, society, or historical context.