In the following exercises, use partial fractions to find the power series of each function. 4 (x-3)(x+1) In the following exercises, differentiate the given series expansion of f tem-by-tem to obtain the corresponding series expansion for the derivative of [. 87. 1+ f(x) =TH. § -174 l In the following exercises, integrate the given series expansion of term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of 89. f(x)=2x Ž (¹ (-1)^(2) ²4-1 || 2 (1+x²) M=1