Power Series Definition, Center, and Examples

Explanations 2

• A power series (centered at aaa) is an infinite series of the form ∑n=0∞cn(x−a)n=c0+c1(x−a)+c2(x−a)2+⋯\sum_{n=0}^\infty c_n(x-a)^n=c_0+c_1(x-a)+c_2(x-a)^2+\cdotsn=0∑∞​cn​(x−a)n=…

  By Panavia Shou, Expii Team, Alex Federspiel, Moor Xu, Victor Wang

• A power series centered at aaa is an infinite series of the form ∑n≥0cn(x−a)n=c0+c1(x−a)1+c2(x−a)2+c3(x−a)3+…,\sum_{n\ge0} c_n (x-a)^n = c_0 + c_1 (x-a)^1 + c_2 (x-a)^2 + c_3 (x…

  By Victor Wang