Quiz 3 Flashcards

1
Q

Telescoping series

A

interior terms of the sum cancel

Σ = lim (Sn) = L

Series converges to L

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2
Q
A
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3
Q

Divergence test

A
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4
Q
A

No! The divergence test can NOT be used to determine if a series converges.

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5
Q

Does the harmonic series Σ1/k converge or diverge?

A

diverges

even though the terms of the series approach 0

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6
Q

P-series test

A

Converges: p > 1

Diverges: p ≤ 1

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7
Q

Comparison test

Let Σak and Σbk be series with positive terms.

A
  • bigger con, smaller also con
  • smaller div, bigger also div
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8
Q

Limit Comparison Tests

A
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