Find the Radius of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \frac { ( 5 x ) ^ { 2 n } } { ( 2 n ) ! }$

question 34

Multiple Choice

Find the radius of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { ( 5 x ) ^ { 2 n } } { ( 2 n ) ! }$

• A)0
• B)5
• C)10
• D)25
• E) \(\infty\)

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Definitions:

Plasmolysis

The process in which cells lose water in a hypertonic solution, causing the cell membrane to pull away from the cell wall.

Crenation

Crenation describes the process where cells lose water in a hypertonic solution, resulting in a shrunken, scalloped appearance typically observed in red blood cells.

Salt Solution

A mixture of salt (typically sodium chloride) and water, used in various scientific and medical applications.

Pinocytosis

A form of endocytosis in which cells engulf and internalize fluid along with dissolved substances.