Use the geometric series formula 11−y=∑n=0∞yn\displaystyle \frac{{1}}{{{1}-{y}}}={\sum_{{{n}={0}}}^{{\infty}}}{y}^{{n}}1−y1=n=0∑∞yn to express the function as a series: x291−x57\displaystyle \frac{{{x}^{{\frac{{2}}{{9}}}}}}{{{1}-{x}^{{\frac{{5}}{{7}}}}}}1−x75x92 =∑n=0∞\displaystyle ={\sum_{{{n}={0}}}^{{\infty}}}=n=0∑∞ \displaystyle Preview Question 6
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