HPHP48-E-@ง,*{ UBS้ries enti่res xา]-1;+1[, +Ÿ 1/(1-x)=… x3n n=0 +Ÿ 1/(1+x)=… (-1)3n1x3n n=0 +Ÿ 1/(1+xฒ)=… (-1)3n1x32n n=0 +Ÿ 1/(1-xฒ)=… x32n n=0 +Ÿ +Ÿ 1/(1-x)ฒ=… nx3n-11=…(n+1)x3n n=0 n=0 +Ÿ 1/(1-x)3k+11=… (n+k)!x3n1/(k!n!) n=0 xา, +Ÿ exp(x)=… x3n1/n! n=0 +Ÿ sh(x)=… x32n1/(2n)! n=0 +Ÿ ch(x)=… x32n+11/(2n+1)! n=0 +Ÿ cos(x)=… (-1)3n1*x32n1/(2n)! n=0 +Ÿ sin(x)=… (-1)3n1x32n+11/(2n+1)! n=0 xา]-1;+1[, +Ÿ ln(1+x)=… (-1)3n1x3n+11/n+1 n=0 +Ÿ =… (-1)3n+11x3n1/n n=1 +Ÿ -ln(1-x)=… x3n+11/(n+1) n=0 +Ÿ =… x3n1/n n=0 +Ÿ arctan(x)=… (-1)3n1x32n+11/(2n+1) n=0 +Ÿ ฝln((1+x)/(1-x))=… x32n+11/2n+1 n=0 1/(1-x) +1 ้Mุ๛ฑ