Determine Whether the Given Series Converges or Diverges $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$

question 53

Short Answer

Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$

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Definitions:

Photomicrograph

An image of a very small or microscopic object taken with the help of a microscope.

Salivary Gland

Exocrine glands located in the mouth that produce saliva, aiding in digestion and oral hygiene.

Canine

A tooth located between the incisors and premolars, pointed in shape and used for tearing food.

Premolar

A type of tooth located between the canine teeth and molars in the mouth, used for crushing and grinding food.