Determine Whether $\sum _ { n = 1 } ^ { \infty } \frac { \cos n + 3 ^ { n } } { n ^ { 2 } + 5 ^ { n } }$

question 33

Short Answer

Determine whether $\sum _ { n = 1 } ^ { \infty } \frac { \cos n + 3 ^ { n } } { n ^ { 2 } + 5 ^ { n } }$ is convergent or divergent.

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Definitions:

Posterior Cruciate Ligament

A ligament in the knee that connects the thigh bone (femur) to the shin bone (tibia), preventing the shin bone from moving too far backwards.

Anterior Cruciate Ligament

A key ligament within the knee joint that connects the femur to the tibia, providing stability to the knee.

Articulations

Joints or points of connection between bones in the skeleton.

Anastomoses

Natural communication, direct or indirect, between two blood vessels or other tubular structures. An opening created by surgery, trauma, or disease between two or more normally separate spaces or organs.