Send me the full solution of Q3.
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hey there here is your answer.....
![\frac{1}{1 - x} + \frac{1}{1 + x} + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{(1 + x) + (1 - x)}{1 - {x}^{2} } + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{2}{1 - {x}^{2} } + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ similarly \\ \frac{4}{1 - {x}^{4} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{8}{1 - {x}^{8} } + \frac{8}{1 + {x}^{8 } } \\ = \frac{16}{1 - {x}^{16} } \frac{1}{1 - x} + \frac{1}{1 + x} + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{(1 + x) + (1 - x)}{1 - {x}^{2} } + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{2}{1 - {x}^{2} } + \frac{2}{1 + {x}^{2} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ similarly \\ \frac{4}{1 - {x}^{4} } + \frac{4}{1 + {x}^{4} } + \frac{8}{1 + {x}^{8} } \\ \frac{8}{1 - {x}^{8} } + \frac{8}{1 + {x}^{8 } } \\ = \frac{16}{1 - {x}^{16} }](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B1+-+x%7D++%2B++%5Cfrac%7B1%7D%7B1+%2B+x%7D++%2B++%5Cfrac%7B2%7D%7B1+%2B++%7Bx%7D%5E%7B2%7D+%7D++%2B++%5Cfrac%7B4%7D%7B1+%2B++%7Bx%7D%5E%7B4%7D+%7D++%2B++%5Cfrac%7B8%7D%7B1+%2B++%7Bx%7D%5E%7B8%7D+%7D++%5C%5C++%5Cfrac%7B%281+%2B+x%29+%2B+%281+-+x%29%7D%7B1+-++%7Bx%7D%5E%7B2%7D+%7D++%2B++%5Cfrac%7B2%7D%7B1+%2B++%7Bx%7D%5E%7B2%7D+%7D++%2B+%5Cfrac%7B4%7D%7B1+%2B++%7Bx%7D%5E%7B4%7D+%7D++%2B++%5Cfrac%7B8%7D%7B1+%2B++%7Bx%7D%5E%7B8%7D+%7D++%5C%5C++%5Cfrac%7B2%7D%7B1+-++%7Bx%7D%5E%7B2%7D+%7D++%2B++%5Cfrac%7B2%7D%7B1+%2B++%7Bx%7D%5E%7B2%7D+%7D++%2B++%5Cfrac%7B4%7D%7B1+%2B++%7Bx%7D%5E%7B4%7D+%7D++%2B++%5Cfrac%7B8%7D%7B1+%2B++%7Bx%7D%5E%7B8%7D+%7D++%5C%5C+similarly+%5C%5C++%5Cfrac%7B4%7D%7B1+-++%7Bx%7D%5E%7B4%7D+%7D++%2B++%5Cfrac%7B4%7D%7B1+%2B++%7Bx%7D%5E%7B4%7D+%7D++%2B++%5Cfrac%7B8%7D%7B1+%2B++%7Bx%7D%5E%7B8%7D+%7D++%5C%5C++%5Cfrac%7B8%7D%7B1+-++%7Bx%7D%5E%7B8%7D+%7D++%2B++%5Cfrac%7B8%7D%7B1+%2B++%7Bx%7D%5E%7B8+%7D+%7D++%5C%5C++%3D++%5Cfrac%7B16%7D%7B1+-++%7Bx%7D%5E%7B16%7D+%7D+)
hope it helps...
hope it helps...
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