1
Q
Telescoping series
A
interior terms of the sum cancel
Σ = lim (Sn) = L
Series converges to L
2
Q
A
3
Q
Divergence test
A
4
Q
A
No! The divergence test can NOT be used to determine if a series converges.
5
Q
Does the harmonic series Σ1/k converge or diverge?
A
diverges
even though the terms of the series approach 0
6
Q
P-series test
A
Converges: p > 1
Diverges: p ≤ 1
7
Q
Comparison test
Let Σak and Σbk be series with positive terms.
A
- bigger con, smaller also con
- smaller div, bigger also div
8
Q
Limit Comparison Tests
A
Tufts - Calc 2
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