This 10-page pdf file can be used as a lecture for a Calculus 2 (Integral Calculus/ AP Calculus) class on Introduction to Series (Infinite Series).

The lecture covers the following topics:

• Formal Definition of a series (as a limit of the sequence of partial sums)
• Geometric Series
• Telescoping Sums
• Harmonic Series (and proof of its divergence)
• Properties of Convergent Series
• Test for Divergence

Plus: many examples regarding these topics throughout.

Typed in LaTeX for a beautiful and professional look.

For these same notes, together with the scaffolded version, click here.

For a worksheet on practicing the Test for Divergence (20 questions + answers), click here.

If you enjoyed this product, you may also be interested in other lecture notes related to infinite series:

• Infinite Sequences
• Integral Test - Series Convergence Test
• Comparison Test - Series Convergence Test
• Alternating Series Test - Series Convergence Test
• Absolute Convergence, Ratio Test, Root Test
• Power Series
• Power Series Representation
• Taylor and Maclaurin Series
• Complete List of Convergence Tests