Find the Positive Values of P for Which the Series

question 194

Multiple Choice

Find the positive values of p for which the series converges. ​

• A)converges for
• B)diverges only at
• C)converges for
• D)converges for
• E)converges for

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Definitions:

Set Notation

A mathematical notation used for describing a collection of distinct objects, typically in the form of {a, b, c,...}.

Solution

The value or values that satisfy an equation, inequality, or system of equations.

Absolute Value

The distance of a number from zero on the number line, disregarding whether it is positive or negative.

Set Notation

A system of symbols and terminology used to define and describe sets and their relationships in mathematics.