Have you wondered why on calc problems like limits, people say that sin x = x? Numerical approximations have many applications and while this claim may seem untrue, the Taylor Series for sin x, centered at 0, demonstrates why x is a good approximation for really small values of x! This is a fun calculus problem where by taking the first derivative, second and more, we can construct the Taylor series to approximate any function we want!
0:00 - Introduction
0:10 - Taylor Series Intro
0:20 - Series Terms
1:00 - Setting a=0
1:51 - Finding First Terms
2:48 - Constructing The Series
3:44 - Analyzing The Terms
4:20 - Answering The Question
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