Consider the Function

question 61

Short Answer

Consider the function .
​
Find the Taylor series of the function at the indicated point.
​
__________
​
Find its radius of convergence.
​
__________
​
Find the interval of convergence.
​
__________

---

Definitions:

Hippocampus

A region of the brain involved in learning and memory formation.

Declarative Memory

The aspect of human memory that involves the recall of facts and events, known as 'knowing what', contrasted with procedural memory, which is 'knowing how'.

Sensory Memory

The shortest-term element of memory, which is the ability to retain impressions of sensory information after the original stimuli have ended.

CREB

A cellular transcription factor that activates gene expression in response to various stimuli, playing a key role in many cellular processes including memory formation.