Which of the Following Series Diverges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { n + 2 } { n ^ { 2 } + 1 }$

question 308

Multiple Choice

Which of the following series diverges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { n + 2 } { n ^ { 2 } + 1 }$ 2) $\sum _ { n = 1 } ^ { \infty } \frac { n ! } { 2 ^ { n } }$ 3) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 n - 1 } { n + 3 } \right) ^ { n }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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Definitions:

Axilla

The area on the human body directly under the joint where the arm connects to the shoulder, commonly known as the armpit.

Three-Point Crutch Gait

A method of walking or moving using crutches where two crutches and the injured leg form three points of contact with the ground.

Affected Leg

Refers to the leg that has been impacted by injury, disease, or any condition affecting its function or structure.

Stronger Leg

The leg that is more dominant or has more strength, often used in physical rehabilitation to support balance and mobility training.