convergence tests Flashcards

1
Q

geometric series how it looks

A

summation n=0
a1(r)^n

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2
Q

geometric series converge if

A

r<1

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3
Q

geometric series diverge if

A

r>=1

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4
Q

Nth term test, what it looks like

A

summation n=1
an

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5
Q

nth term test will converge if

A

unknown, only tells divergence

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6
Q

nth term test will diverge if

A

lim as n–> infinity of an DOESN’t =0

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7
Q

p-series what it looks like

A

summation n=1
1/n^p

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8
Q

p-series converge if

A

p>1

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9
Q

p-series diverge if

A

p<=1

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