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∑ (n=1→∞)X^2n-2的和函数,请用等比求和公式解释下,谢谢
∑ (n=1→∞)X^2n-2的和函数,请用等比求和公式解释下,谢谢
2025-03-14 04:45:35
推荐回答(3个)
回答1:
a1(1-q∧n)/(1-q)
前n项是(1-x∧2n)/(1-x∧2)
n趋于无穷 分子无限大
所以 结果为1/(1-x∧2)
回答2:
回答3:
补充一楼的答案,因为该幂级数收敛域是(-1,1),x的无穷次方就是0.
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