Expressing Functions as Power Functions

$\sin x$ in Taylor Approximations

Figure shows $\sin x$ and Taylor approximations, polynomials of degree 1, 3, 5, 7, 9, 11 and 13. As more power functions with larger exponents are added, the Taylor polynomial approaches the correct function.

Source

Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:

"Taylor series."

http://en.wikipedia.org/wiki/Taylor_series Wikipedia CC BY.

Expressing Functions as Power Functions

sinx\sin xsinx in Taylor Approximations

Source

Related Terms

$\sin x$ in Taylor Approximations