Find the Limit of the Sequence $\{ \sqrt { 3 } , \sqrt { 3 \sqrt { 3 } } , \sqrt { 3 \sqrt { 3 \sqrt { 3 } } } , \ldots \}$

question 72

Multiple Choice

Find the limit of the sequence $\{ \sqrt { 3 } , \sqrt { 3 \sqrt { 3 } } , \sqrt { 3 \sqrt { 3 \sqrt { 3 } } } , \ldots \}$ .

• A)1
• B) \(e ^ { 3 }\)
• C) \(e ^ { 3 / 2 }\)
• D)3
• E) \(\frac { 1 } { 3 }\)
• F) \(e ^ { \sqrt { 3 } }\)
• G) \(\pi\)
• H)Divergent

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Definitions:

Holt-Winters Multiplicative Model

A forecasting technique that accounts for trends and seasonal variations in time series data, using a multiplicative approach to model the seasonal component.

Trend

A pattern or direction in data, often over time, indicating a movement or change in variables, which can be upward, downward, or steady in financial and scientific analyses.

Seasonality

Patterns or variations that occur in data at specific regular intervals less than a year, often due to weather, holidays, or other cyclical events.

Mean Square Error

A measure of the average of the squares of the errors or deviations, indicating the difference between the estimators and what is estimated.