x/(4-x^2)^2 幂级数展开 并求收敛域半径求x/(4-x^2)^2的幂级数展开,并求收敛域半径另求 ln(1-x/1+x) 和arctan(x^2)幂级数展开及收敛域半径

x/(4-x^2)^2 幂级数展开 并求收敛域半径求x/(4-x^2)^2的幂级数展开,并求收敛域半径另求 ln(1-x/1+x) 和arctan(x^2)幂级数展开及收敛域半径
x/(4-x^2)^2 幂级数展开 并求收敛域半径
求x/(4-x^2)^2的幂级数展开,并求收敛域半径
另求 ln(1-x/1+x) 和arctan(x^2)幂级数展开及收敛域半径

x/(4-x^2)^2 幂级数展开 并求收敛域半径求x/(4-x^2)^2的幂级数展开,并求收敛域半径另求 ln(1-x/1+x) 和arctan(x^2)幂级数展开及收敛域半径
f(x)=x/(4-x^2)^2 f(0)=0
∫f(x)dx=(1/2)∫1/(4-x^2)^2dx^2=(-1/2)/(4-x^2)
=(-1/8)/(1-x^2/4)=∑(0,+∞)(-1/8)(x/2)^n |x/2|