1. The problem statement, all variables and given/known data Find the Maclaurin series of the function f(x) = 5(x^2)sin(5x) 2. Relevant equations [tex]\sum[/tex](Cn*x^n) 3. The attempt at a solution I'm supposed to enter in c3-c7 I already know that c4 and c6 are 0 because the derivative is something*sin(0)=0 but for the odd numbered c's I am having problems... i know that the taylor series for sinx = [tex]\sum[/tex]((-1^n)*x^(2n+1))/(2n+1)! so i just substituted in 5x and multiplied by 5x^2 and got 5 [tex]\sum[/tex] ((-1^n)*(5^(2n+1)*x^(2n+3))/(2n+1)! so for c3 i got 5(-1^3)(5^7)/(7)! = -5^8/7! but I am not getting the answer right for this. Can someone please explain what I am doing wrong.