Determine the Convergence or Divergence of the Sequence with the Given

question 59

Multiple Choice

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. $a _ { n } = \frac { \ln \left( n ^ { 3 } \right) } { 7 n }$

• A) The sequence converges to \(- 1\).
• B) The sequence converges to 0 .
• C) The sequence diverges.
• D) The sequence converges to 1 .
• E) The sequence diverges to 1 .

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Definitions:

Optimal R&D

The most efficient level of investment in research and development activities where marginal cost equals marginal benefit.

Expected Rate Of Return

The increase in profit a firm anticipates it will obtain by purchasing capital or engaging in research and development (R&D); expressed as a percentage of the total cost of the investment (or R&D) activity.

Interest-Rate Cost-Of-Funds

The interest expense on borrowings, reflecting the rate at which a company or individual can borrow or lend funds.

Marginal Benefit

The extra advantage gained by using an additional unit of a product or service.