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$P_{n}(x)$ is the Taylor polynomial of degree n centered at x = a

Taylor Polynomial of Degree n Approximation: f(x) for x near a ^[1]
$f(x)\approx P_{n}(x)=$
$f(a)+f'(a)(x-a)+{\frac {f''(a)}{2!}}(x-a)^{2}+\cdots +{\frac {f^{(n)}(a)}{n!}}(x-a)^{n}$

The Binomial Series
For: $-1<x<1$
$(1+x)^{p}=\left\{1+px+{\frac {p(p-1)}{2!}}\cdot x^{2}+{\frac {p(p-1)(p-2)}{3!}}\cdot x^{3}+\cdots \right\}$

Fantastic content that makes you want the information for yourself, or maybe you just want to see where it is from. ^[a]

Letter from Rome. Volume 3905 of Harvard Risorgimento preservation microfilm project (PDF). Rome, Italy: Catholic Publication House. 1871. Archived from the original on 22 Feb 2017 – via Archive.org. {{cite book}}: External link in |via= (help)

Hughes-Hallett, Deborah; McCallum, William G.; Gleason, Andrew M. (2013), Calculus : Single and Multivariable (6 ed.), John Wiley & Sons, ISBN 978-0470-88861-2

^ ^a ^b Hughes-Hallett, Deborah; McCallum, William G.; Gleason, Andrew M. (2013). Calculus : Single and Multivariable (6 ed.). John wiley. ISBN 978-0470-88861-2.
^ Fraknoi, Andrew, Morrison, David OpenStax, Astronomy. OpenStax. 13 October 2016. <http://cnx.org/content/col11992/latest/>
^ Fraknoi, Andrew; Morrison, David (13 October 2016). "OpenStax Astronomy".
^ Barrow, Gordon M. (1962). Introduction to Molecular Spectroscopy (Scanned PDF). McGraw-Hill. LCCN 62-12478.
^ Letter from Rome. Volume 3905 of Harvard Risorgimento preservation microfilm project (PDF). Rome, Italy: Catholic Publication House. 1871. Archived from the original on 22 Feb 2017 – via Archive.org. {{cite book}}: External link in |via= (help)
^ JSTOR (30 July 2013). "JSTOR Evidence in United States vs. Aaron Swartz" (PDF). Archived from the original (PDF-1.6) on 1 March 2017 – via Archive.org. {{cite web}}: External link in |via= (help)
^ Parker, Barry R. (2000). Einstein's Brainchild: Relativity Made Relatively Easy!. Prometheus Books. ISBN 9781615923687.
^ Vershuur, Gerrit L. (2007). The Invisible Universe: The Story of Radio Astronomy (2 ed.). Springer Science+Business Media, LLC. ISBN 978-0387-30816-6. LCCN 2006924881.
^ Robinson, Keith (2007). Spectroscopy: The Key to the Stars: Reading the Lines in Stellar Spectra. Patrick Moore's Practical Astronomy Series. Springer Science & Business Media. ISBN 9780387682884.