Exclusive to AA HL, Maclaurin series provides a powerful method for representing functions as infinite power series centred at zero. Students develop expansions for standard functions including eˣ, sinx, cosx, ln(1+x) and (1+x)^p, and use substitution, multiplication, differentiation and integration to obtain series for related functions. Convergence is discussed, and Maclaurin series can also be developed as solutions to differential equations, linking this subtopic to both calculus and the broader course.
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Video lessons
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