Power Series. Function Sequences and Series
Gustavo da Silva Araújo, L. Bernal-González, José L. Gámez Merino, María E. Martínez Gómez, Gustavo A. Muñoz Fernández, Daniel L. Rodríguez Vidanes, Juan B. Seoane Sepúlveda · 2024
Consider the sequence https://www.w3.org/1998/Math/MathML" display="inline"> ( f n ) https://www.w3.org/1999/xlink" xlink:href=" https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003400745/6371057a-2ee2-4033-8adf-f9f05b7b1257/content/math8_1.tif "/> of functions https://www.w3.org/1998/Math/MathML" display="inline"> f n : R → R https://www.w3.org/1999/xlink" xlink:href=" https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003400745/6371057a-2ee2-4033-8adf-f9f05b7b1257/content/math8_2.tif "/> given by https://www.w3.org/1998/Math/MathML" display="block"> f n ( x ) = { 1 n if | x |