The Radius of Convergence of the Power Series Solution Of y

question 34

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:

Reduction

A chemical reaction that involves the gain of electrons or the decrease in oxidation state by a molecule, atom, or ion.

Oxidizing

Refers to the process of losing electrons or increasing the oxidation state of a molecule, atom, or ion in a chemical reaction.

Primary Alcohol

An alcohol with the -OH group attached to a carbon atom that is itself bonded to no more than one other carbon atom.

Aldehyde

An organic compound characterized by the presence of a carbonyl group (C=O) attached to at least one hydrogen atom.