Let $f ( x ) = \left| \frac { \sin x } { x } \right| ^ { 1.001 }$ for $x \neq 0$ and $f ( 0 ) = L$ such that $f$ is continuous. Let $I ( x ) = \int _ { 0 } ^ { x } f ( t ) d t$.
\textbf{Statements}
(21) $L = 1.001$\\
(22) $I ( 0.001 ) > 0.001$.\\
(23) As $x \rightarrow \infty$ the limit of $I ( x )$ is greater than 1001 (possibly $\infty$).\\
(24) The function $I ( x )$ is NOT differentiable at infinitely many points.