这两题都是凑等比数列求和公式f(x)=1/(x^2+3x+2) =1/(x+1)-1/(x+2)= 1/5 *1/(1-(x-4)/5) - 1/6 * 1/(1-(x-4)/6)=1/5 sum((x-4)/5)^n) -1/6 sum((x-4)/6)^n=sum[(x-4)^n (1/5^(n+1) -1/6^(n+1))f(x)= (x-1 )/3* 1/(1-(x-1)/3)=(x-1)/3 * sum(((x-1)/3)^n)=sum(((x-1)/3)^(n+1))