Calculus 2 video that explains Maclaurin series and Maclaurin polynomial approximations (Taylor series/Taylor polynomial with center at x=0) by building an approximation for a function. We also work through the Maclaurin series expansion for some of the most common functions used (for sin x, cos x, and e^x).
0:00 How Maclaurin series are used to approximate a function
9:46 Example 1 (Maclaurin series for sin x)
15:17 Example 2 (Maclaurin series for cos x)
17:51 Example 3 (Maclaurin series for e^x)
19:38 Visualizing Maclaurin series approximations
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