Determine Whether the Given Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } \frac { 9 n ^ { 2 } + 3 } { 2 n ^ { 2 } + 5 }$$

question 113

Short Answer

Determine whether the given series converges or diverges. If it converges, find its sum.
$$\sum _ { n = 0 } ^ { \infty } \frac { 9 n ^ { 2 } + 3 } { 2 n ^ { 2 } + 5 }$$

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Definitions:

Creativity

The use of imagination or original ideas to create something; inventiveness.

Tolerance for Ambiguity

The degree to which an individual is comfortable with uncertainty, unpredictability, and unclear situations without becoming overly stressed.

Internal Locus

The belief that one has control over the events in their life, as opposed to external forces being responsible.

Creativity

The ability to generate new ideas, solutions, or innovations that are both original and valuable.