Use a comparison test to determine if the integral from 8 to infinity of sin^10(x)e^(-x) converges or diverges?
I am stuck on what to use to compare. Any help is appreciated! Thank you!
I was thinking -1<sin<1 but then I get 1<sin^10<1 which makes no sense
since |sinx| <= 1,
0 < sin^10(x) e^-x <= e^-x
since ∫e^-x dx converges so does this one.