Absolute vs. Conditional Convergence

Solomon Xie
Calculus Basics
Published in
2 min readJan 18, 2019

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This section is not about calculation, but rather about the logic.

▶Refer to Khan academy: Conditional & absolute convergence

▶ Back to previous note on: p-series test
▶ Practice at Khan academy: determine-absolute-or-conditional-convergence

▼We can have a series in Given form and Absolute form:

We call the series:

  • Absolute Convergent: if the series converges in BOTH Given form & Absolute form.
  • Conditional Convergent: if the series converges ONLY in Given form BUT NOT in Absolute Form.

etc.,

▼Refer to xaktly

Example

Solve:

Example

Solve:

Example

Solve:

Example

Solve:

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Solomon Xie
Calculus Basics

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