# Resembling resemblance?

**Calculus**Level 4

Let \[F(n)=\int^{\infty}_0\frac{\sin(x^n)}{x} \, dx.\] Then find \[\lim\limits_{n\to\infty}F(n).\]

Let \[F(n)=\int^{\infty}_0\frac{\sin(x^n)}{x} \, dx.\] Then find \[\lim\limits_{n\to\infty}F(n).\]

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