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I tried to find what is the Taylor series of the function $$\int_0^x \frac{\sin(t)}{t}dt .$$

Any suggestions?

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    Recall the series for $\sin\,t$, divide out $t$ for each term, and integrate each term.2011-12-31
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    Pls try to format your math, it's not difficult to learn (right-click->"show source" over the equation to see)2011-12-31
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    @J.M. I think you should put your comment as an answer.2011-12-31
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    Yes, JM this one belongs to you. I shall defer.2011-12-31
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    Sometimes "sinc" means this one $\mathrm{sinc}(x) = \sin(\pi x)/(\pi x)$.2013-01-09

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