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Find the Limit of the Sequence If It Converges; Otherwise an=(1)n8na _ { n } = ( - 1 ) ^ { n } \frac { 8 } { n }

question 114

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Find the limit of the sequence if it converges; otherwise indicate divergence.
- an=(1) n8na _ { n } = ( - 1 ) ^ { n } \frac { 8 } { n }


Definitions:

Neural Membrane

The lipid bilayer that encloses the cytoplasm of a neuron, essential for transmitting neural signals.

Action Potential

A rapid increase and subsequent decrease in voltage across a cellular membrane, representing the transmission of an electrical signal along a neuron.

Resting Potential

The difference in electric charge across the neuronal membrane when the neuron is not actively sending a signal, crucial for the initiation of nerve impulses.

Excitatory Postsynaptic Potential

A temporary increase in postsynaptic membrane potential due to the flow of positively charged ions into the postsynaptic cell, making it more likely to fire an action potential.

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