Absolute vs. Conditional Convergence

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

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

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., image

▼Refer to xaktly image

Example

image Solve: image

Example

image Solve: image

Example

image Solve: image

Example

image Solve: image

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