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Math Help - Real analysis

  1. #1
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    Real analysis

    {{\lim_{\substack{x\rightarrow\pi}} {\left( \frac {x}{x-\pi}{\int_{\pi}^{x} }\frac{sin t}{t}} dt\right)}
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  2. #2
    MHF Contributor

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    Of course, you can treat the "x" outside the integral separately- it goes to \pi. That leaves \frac{\int_\pi^x\frac{sin(t)}{t}dt}{x- \pi} which is of the form "0/0". Use L'Hopital's rule for that.
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