Unit 10B Review

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The radius of convergence is 2.

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Define the term 'power series'.

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What is the Alternating Series Test?

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The Alternating Series Test states that if the terms of a series alternate in sign and decrease in absolute value to zero, then the series converges.

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What is the significance of the radius of convergence in power series?

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The radius of convergence determines the interval within which the power series converges.

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What is the relationship between the Taylor series and the function it represents?

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The Taylor series represents a function as an infinite sum of terms calculated from the values of its derivatives at a single point.

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