(adsbygoogle = window.adsbygoogle || []).push({}); Integral in a limit??

Can anyone try to find the limit of this :

[tex] \lim_{x \rightarrow 3} (\frac{x}{x-3} \int_3^x (\frac{\sin(t)}{t}dt))[/tex]

I know the answer is sin3. Can you show me the work involved (yes, i know the work also)

Hint: [tex]F'(3) = \lim_{x \rightarrow 3} \frac{F(x) - F(3)}{x-3}[/tex]

*edited* F'(3)

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# Integral in a limit?

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