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A Maclaurin series is essentially a Maclaurin polynomial with infinite terms. It turns out that the Maclaurin series of sin(x), cos(x), and eˣ return the exact same values as the functions themselves, for any x-value. Wow! Introduce yourselves to these special series and discover one of the most fascinating areas of all of mathematics!

6586_Maclaurin_series_of_cos_x_.html

6592_Visualizing_Taylor_series_approximations.html

6587_Maclaurin_series_of_sin_x_.html

6588_Maclaurin_series_of_e_.html

6589_Euler_s_formula_Euler_s_identity.html

6590_Worked_example_power_series_from_cos_x_.html

6591_Worked_example_cosine_function_from_power_series.html