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and its polynomial forms). Objective Taylor Series (at x=0): to find the best approximation for y using x around x=0 Taylor Series for sine function at x=0 is described as: $latex Sin(x) = x- \frac{x^{3}}{3!}+\frac{x^{5}}{5!}- \frac{x^{7}}{7!}\cdots &s=3$ This series expands to infinite powers of x