Binomial Theorem HL - IB Math AA HL

Published: 16 October 2024
on channel: Juliana Maths
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From Binomial Theorem to Poisson Distribution:    • Poisson Distribution  

00:00 - Binomial Theorem SL
03:45 - A negative exponent / Sum of infinite geometric series
06:45 - Extended binomial coefficients
10:22 - Another negative exponent / Derivatives and product of infinite series
15:44 - A fractional exponent
18:48 - An application: Finding approximations for square root
21:30 - Proving the 1/2 example
22:40 - Notation / Formula Booklet
24:58 - MacLaurin Series
31:08 - Putting both things together (Proof of Binomial Theorem HL)
33:34 - Radius of Convergence / Interval of Convergence / Complex Numbers


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