Which of the Following Series Is Absolutely Convergent?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 2 } }$

question 324

Multiple Choice

Which of the following series is absolutely convergent?
1) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 2 } }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 3 } }$

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

---

Definitions:

Presynaptic Terminal

The end part of a nerve cell (neuron) that releases neurotransmitters to send a signal across the synapse to another neuron.

Acetylcholine

A neurotransmitter involved in many functions including muscle activation, heart rate, and the processing of memory and cognition.

Synaptic Cleft

The microscopic gap between neurons across which neurotransmitters are released, facilitating communication between cells.

Neurotransmitter Effects

The impacts or actions exerted by neurotransmitters, which are chemicals responsible for transmitting signals across a chemical synapse between neurons or between neurons and muscles.