Find $\lim _{x \rightarrow \infty} \frac{4 x^{7}-3 x+2}{11 x^{7}+100 x-5}$ If It Exists

question 5

Multiple Choice

Find, $\lim _{x \rightarrow \infty} \frac{4 x^{7}-3 x+2}{11 x^{7}+100 x-5}$
if it exists.

• A)1
• B) \(\frac{4}{11}\)
• C) \(\frac{7}{11}\)
• D)DNE
• E) \(\frac{-2}{5}\)

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Definitions:

Social Change

The transformation over time of cultural values, norms, institutions, and structures within a society, often driven by collective action, technological innovation, or social policies.

Modernization

The process of adopting the latest technology, organizational practices, or cultural norms, often associated with progress and improvement in society.

Modernization Theory

is a theoretical perspective that links societal development with the adoption of modern technological, political, and economic systems, traditionally viewing such modernization as a positive and linear progression.

Malthusian Theory

Proposes that population growth is potentially exponential while the growth of the food supply is linear, leading to overpopulation and societal issues.