Chapter 10 Videos – Sequences and Series – Updated 2-24-2025

The table below contains links to video tutorials from Khan Academy and Krista King’s YouTube Channel (also kristakingmath.com).

Khan Academy Calculus (khanacademy.com)Krista King Calculus (kristakingmath.com)
Maclauren and Taylor SeriesTerms of a sequence
Cosine Taylor Series at 0 (Maclaurin)Formula for a sequence
Sine Taylor Series at 0 (Maclaurin)Sequence converge or diverge?
Taylor Series at 0 (Maclaurin) for e^xIncreasing, decreasing and non-monotonic sequences
Power Series by IntegrationBounded sequences
Visualizing Taylor Series ApproximationsSum of the sequence of partial sums
Generalized Taylor Series Approximationsnth term test - divergence
Maclaurin Series based upon cos xGeometric convergence and divergence
Visualizing Taylor Series for e^xGeometric convergence and divergence
Evaluating Taylor Polynomial of derivativeConvergence and sum of a geometric series 1
Error or Remainder of a Taylor Polynomial ApproximationConvergence and sum of a geometric series 2
Proof: Bounding the Error or Remainder of a Taylor Polynomial ApproximationConvergence and sum of a geometric series 3
Convergence of a telescopic series
Sum of a telescopic series
p-series test
How to use the Integral Test
Limit Comparison test
Estimating Error/Remainder of a series
Alternating Series Test
Alternating Series Error
Ratio Test 1
Ratio Test 2
Absolute and Conditional Convergence
Radius of Convergence
Interval of Convergence 1
Interval of Convergence 2
Power Series Multiplication
Create a Power Series by Multiplication
Power Series Differentiation
Radius of Convergence of a Taylor Series
Maclaurin Series Radius of Convergence
Use a Maclaurin Series to approximate a Definite Integral
Use a Maclaurin Series to approximate a Limit