This pdf file contains the lecture notes for the Integral Calculus II topic of Infinite Sequences.

It covers the following topics:

• Definition of an Infinite Sequence
• Graphs of Sequences
• Convergence and Divergence of Sequences
• Properties of Convergence Sequences
• Squeeze Theorem for Sequences
• Monotonic Sequence Theorem

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.

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

• Introduction to Infinite Series
• 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

Worksheets (each covering specific convergence tests) are available here:

• 20 series questions (+ answers) to be solved using the Test for Divergence
• 20 series questions (+ answers) to be solved using the Integral Test
• 20 series questions to be solved using the Alternating Series Test
• 20 series questions (+ answers) to be solved using the Comparison Test or the Limit Comparison Test
• 20 series questions (+ answers) to be solved using the Ratio Test or the Root Test