Sequences and series

OpenStax

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1 Terminology of sequences

2 Limit of a sequence

6 Bounded sequences

Infinite series

1 Sums and series

2 The harmonic series

3 Algebraic properties of convergent series

4 Geometric series

5 Telescoping series

7 Key equations

The divergence and integral tests

1 Divergence test

2 Integral test

3 The p -series

4 Estimating the value of a series

6 Key equations

Comparison tests

1 Comparison test

3 Limit comparison test

Alternating series

1 The alternating series test

3 Remainder of an alternating series

4 Absolute and conditional convergence

7 Key equations

Ratio and root tests

4 Choosing a convergence test

6 Chapter review exercises

Source: OpenStax, Calculus volume 2. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11965/1.2

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