Find a power series representation for the improper integral: $\displaystyle \int^{x}_{0}\frac{1-cost}{t^2}dt$ Almost done with my difficult homework but have no clue where to start here...thanks!
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$\displaystyle cos(t) = 1- \frac{t^2}{2!}+\frac{t^4}{4!}-\frac{t^6}{6!}+\cdots$ sub this into the integral & simplfy
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