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Evaluate the Limit Using L'Hôpital's Rule limx(lnx)34x2\lim _{x \rightarrow \infty} \frac{(\ln x)^{3}}{4 x^{2}}

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Evaluate the limit using l'Hôpital's Rule. limx(lnx) 34x2\lim _{x \rightarrow \infty} \frac{(\ln x) ^{3}}{4 x^{2}}

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Definitions:

Sample Proportion

The fraction or percentage of the sample that represents part of a particular category or characteristic of interest.

Null Hypothesis

A hypothesis that assumes no significant difference or effect in the context of an experiment or test.

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, suggesting that there is a significant effect or difference.

Test Statistic

A value calculated from sample data during hypothesis testing. It is used to determine whether to reject the null hypothesis.

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