Calculus · Calculus
Series & Taylor Approximations
Approximate any smooth function with a polynomial: the Taylor formula, famous series for eˣ, sin x, cos x and 1/(1−x), radius of convergence, error size, and uses from calculators to physics small-angle approximations and finance's duration and convexity.
Step 1 of 5 · Overview30 min read ·
Key idea
Prereqs: Rules of differentiation. Next: Differential equations basics. Sources: 3Blue1Brown, *Essence of Calculus* ch. 11; Stewart, *Calculus* §11.10.Next: 1. The formula