10.4 Flashcards

1
Q

What does the direct comparison test for series say?

A

If you have two POSITIVE series and one is always bigger than the other

If the lower series diverges, the upper one will too

If the upper series converges, the lower one will too

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2
Q

What does the limit comparison test for series say

A

If you need to determine the convergence of a series ∑an

Choose a known series ∑bn to compare to

Take L = lim n->inf (an/bn)

If L is a finite, positive number, both functions either converge or diverge

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