Find the Radius of Convergence Of $\sum _ { n = 1 } ^ { \infty } \frac { n ! x ^ { n } } { n ^ { n } }$

question 183

Multiple Choice

Find the radius of convergence of $\sum _ { n = 1 } ^ { \infty } \frac { n ! x ^ { n } } { n ^ { n } }$ .

• A)0
• B) \(\infty\)
• C)1/e
• D) \(\frac { 1 } { 2 }\)
• E)1
• F)e
• G)2
• H)3

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Definitions:

Cultural Feminism

A form of feminism that emphasizes the difference between men and women and advocates for celebrating women’s qualities and contributions to society.

Sexual Difference Theory

A framework in feminist theory that analyzes the differences between the genders and how these differences are socially and culturally constructed.

Sociological Theories

Frameworks for understanding social phenomena, considering human behavior patterns, societal structures, and cultural norms.

Liberal Feminism

A branch of feminism that emphasizes individual rights, equality, and legal reform as means to address gender inequalities.