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6.試求\(\displaystyle \frac{\displaystyle \frac{1}{4^{109}}}{\frac{1}{4^{109}} + 2} + \frac{\displaystyle \frac{2}{4^{109}}}{\frac{2}{4^{109}} + 2} + \frac{\displaystyle\frac{3}{4^{109}}}{\frac{3}{4^{109}} + 2} + \dots + \frac{\displaystyle\frac{108}{4^{109}}}{\frac{108}{4^{109}} + 2}\)之值為何?

114.5.14補充
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