Calculus: Multiplying two power series
How do you do this accurately? I can not find the process in my book and I have hw due in less than two hours:(
f(x) = 5 + 3 x + 3 x^2 + 5 x^3 + ...
g(x) = 3 + 2 x + 2 x^2 + 3 x^3 + ...
By multiplying power series, find the first few terms of the series for the product
h(x)=f(x) * g(x) = c_0+c_1 x +c_2 x^2 + c_3 x^3 + ....
I need c1,c2,c3
c1 is 5*2x+3*3x... trying to figure out the rest
c2 is 5*2x^2+3*3x^2*(3x*2x)... i think i have this now
c3 is 5*3x^3+3x^2*2x+3x*2x^2+5*3x^3=42x^3 sorry for asking Q's i end up figuring out:)