Sequence and Series

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Last updated 12:56 AM on 8/24/26
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38 Terms

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When to use this theorem?

<p>When to use this theorem?</p>
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When to use the Squeeze Theorem?

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What is a Monotonic Sequence?

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When can you say that a Monotonic Sequence is increasing?

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When can you say that a Monotonic Sequence is decreasing?

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What is the formula of a Geometric Series?

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What are the Properties of Convergent Series?

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“test for divergence”

What test do you use if…?

<p>What test do you use if…?</p>
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<p>The first derivative tells you the <strong>slope</strong>. If the slope is positive, the graph goes up (increasing). If the slope is negative, the graph goes down (decreasing).</p>

The first derivative tells you the slope. If the slope is positive, the graph goes up (increasing). If the slope is negative, the graph goes down (decreasing).

What is the core idea of the FDT?

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<p></p>


What 3 legal conditions must you prove BEFORE using the Integral Test?

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Harmonic Series

The p-series with p = 1 is called the?

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<p></p>


When is the p-series convergent or divergent?

<p>When is the p-series convergent or divergent?</p>
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What is the Remainder Estimate for the Integral Test?

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What does the Comparison Test state?

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What is the behavior of a p-series?

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What is the behavior of a geometric series?

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What is the Limit Comparison Test?

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When can you say that an alternating series test is convergent?

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When can Conditional Convergence happen?

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What is the Ratio Test?

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What is the Root Test?

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Radius and interval of convergence Table:

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What is the Taylor’s Theorem?

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Taylor Series of Function at a?

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What is the Maclaurin Series of Function?

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What is the nth-degree Taylor Polynomial?

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What is the Remainder of the Taylor Series?

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What are the Binomial Coefficients?

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What is the Binomial Series?

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What are Important Maclaurin Series and Their Radii of Convergence?