Chapter 8, Problem 112RE

Comparing integrals Graph the functions f(x) = ± 1/x², g(x) = (cos x)/x², and h(x) = (cos² x)/x². Without evaluating integrals and knowing that ${\displaystyle {\int }_1^{\infty }f(x)dx}$ has a finite value, determine whether ${\displaystyle {\int }_1^{\infty }g(x)dx}$ and ${\displaystyle {\int }_1^{\infty }h(x)dx}$ have finite values.