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About this unit

By now, you should be familiar with several kinds of series like arithmetic or geometric series. Riemann sums are also series. This is actually a vast and fascinating world: the world series! Sorry, the world OF series!

Sequences review

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Infinite sequences

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Series review

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Finite geometric series

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Partial sums

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Infinite geometric series

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Series basics challenge

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Basic convergence tests

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Comparison tests

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Ratio & alternating series tests

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Estimating infinite series

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Power series intro

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Taylor & Maclaurin polynomials intro

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Maclaurin series of sin(x), cos(x), and eˣ

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Power series function representation

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Challenge series exercises

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