****Explain:

$$ \text {شرح متقسم} $$

Types of Series: -

$$ \text {1- Geometric series:} $$

https://youtu.be/ki6G-a6uhmA

$$ \text {2- Telescoping series:} $$

https://www.youtube.com/watch?v=DShApoeg6F4

$$ \text {3- P- series:} $$

https://youtu.be/PvuCBMjIFTM

Tests for convergence:-

$$ \text {1- General Term Test (Div test)} $$

https://youtu.be/8A0JVa19drA

$$ \text {4- Ratio Test} $$

https://youtu.be/_Q7eCejVPwY

$$ \text {6- Power Series} $$

https://www.youtube.com/watch?v=I16SXluM1tA&list=PLVgrGgkWLpZa6DFlg51JAa6Lbj3_4fF7F&index=36

$$ \text {2- Limit Comparison Test} $$

https://youtu.be/ux_-NYTJ5Qk

$$ \text {5- Root Test} $$

https://youtu.be/_HhaCpbdSMo

$$ \text {3- Comparison Test} $$

https://youtu.be/N2yMd3d_xeU

$$ \text {5- Alternating Series Test} $$

https://youtu.be/q2zw3NcJR7U

Description

This document discusses the topic of series, including what they are, different types such as geometric series and p-series, telescoping series, and tests for convergence and divergence. It also includes examples and additional materials for further study.

tests for converge

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