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- converges only if limit is a number
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- converges only if limit is a number
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- only converges if BOTH integrals converge
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What is the Principle Value of ?
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What are the important formulas to know for first order linear differential equations?
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What is the differential equation of Logistic Population Growth?
- or
- k= carrying capacity
- r=intrinsic growth rate
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What does the convergence test theorem say?
- If converges, then
- If , then diverges
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What is the harmonic series and does it converge/diverge?
- this series diverges even though
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What does the Integral Test say?
- If f(x) is a function on
- and for n=1,2,3,...
- Then and both converge or both diverge
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What does the Improper Integral Test say?
- converges if & diverges if
- converges if & diverges if
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What is the theorem of the basic comparison test?
- Suppose for all k
- If diverges, then diverges
- If converges, then converges
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What is the theorem of the limit comparison test?
- Given , , series of positive terms
- Suppose where
- Then and both converge or both diverge
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