The Radius of Convergence of the Power Series Solution Of y

question 30

Multiple Choice

The radius of convergence of the power series solution of $y ^ { \prime \prime } - y = 0$ about $x = 0$ is

• A) 0
• B) 1
• C) 2
• D) \(\infty\)
• E) none of the above

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Definitions:

Moral Philosophy

The branch of philosophy that deals with questions of right and wrong, ethics, and moral obligations.

Theories

Systematic frameworks for explaining, predicting, and understanding phenomena, often based on general principles independent of the things to be explained.

Greek Philosopher

Refers to scholars from ancient Greece who engaged in critical thinking and discussions about knowledge, life, ethics, and the universe.

Stoicism

An ancient philosophy emphasizing rationality and self-control, teaching that virtue is sufficient for happiness and one should not be controlled by the desire for pleasure or fear of pain.