Which One of the Following Series Diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }$

question 47

Multiple Choice

Which one of the following series diverges?

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.0001 } }\)
• B) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { \pi } { 4 } \right) ^ { n }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n + e ^ { n } }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } + 1 }\)
• E)None of these

Learn how to use statistical software for exponential trend analysis.

Identify seasonal patterns in sales data.

Master the computation of smoothed values using exponential smoothing constants.

Analyze time series data to understand trends and seasonal variations.

---

Definitions:

Empowerment Skill

The ability to give individuals or teams the autonomy, resources, and capabilities to influence their work and decision-making process.

Communication Skills

The ability to convey information effectively and efficiently, both verbally and non-verbally, to a range of audiences.

Competitive Skill

A rephrased definition: An attribute or capability that gives an individual or entity an edge over rivals in a competitive environment.

Process Skills

The abilities required to manage and execute processes in an organization efficiently, including planning, monitoring, and optimizing various operational or production processes.