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Question Number 213055 by MrGaster last updated on 29/Oct/24

$$$$$$\underset{x\to +\mathrm{\infty }}{\lim }\frac{{\int }_0^x\mid \sin t\mid dx}{x}$$$$$$

Answered by Ghisom last updated on 29/Oct/24

$$\underset{0}{\stackrel{x}{\int }}\mid \sin t\mid dx=\mid \sin t\mid \underset{0}{\stackrel{x}{\int }}dx=x\mid \sin t\mid$$$$\underset{x\to \mathrm{\infty }}{\lim }\frac{x\mid \sin t\mid }{x}=\mid \sin t\mid$$

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