For the Series $\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n }$

question 250

Essay

For the series $\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n }$ , tell whether or not it converges, and indicate what test you used. If the test involves a limit, give the limit. If the test involves a comparison, give the comparison.

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Definitions:

Elastic Tissue

A type of connective tissue composed of elastic fibers that allows many tissues in the body to resume their shape after stretching or contracting.

Smooth Muscle

This type of muscle is found within the walls of hollow organs such as blood vessels, the gastrointestinal tract, and the bladder, controlling involuntary movements.

Skeletal Muscle

A type of muscle tissue that is attached to bones and under voluntary control, responsible for movement.

Dense Irregular Connective Tissue

Connective tissue composed of collagen fibers arranged in a random, interwoven manner, providing strength and support in multiple directions.