Introduction to Calculus 3: Infinite Sequences and Series
Investigate infinite sequences and test for convergence of infinite series
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6 hours
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Jan 2025
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What you will learn
Express a sequence as an order of numbers
Express an order of numbers as a sequence
Determine whether a sequence converges or diverges
Prove whether a sequence is monotonic or bounded
Find the convergence of a sequence
Express a series in sigma notation
Find the sum of a geometric or telescoping series
Test for the convergence of a series using the Test for Divergence, Integral Test, Comparison/Limit Comparison Tests, Alternating Test, Root and Ratio Tests
Estimate the Sum of a Series
Estimate the Sum of an Alternating Series
Find the radius of convergence and interval of convergence of a power series
Represent a function as a Taylor Series and Maclaurin Series
Estimate how close the function is to its Taylor series representation using the Taylor's Inequality
Apply the Taylor polynomials
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5235720
udemy ID
27/03/2023
course created date
05/04/2023
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