limx趋于无穷大[(2^x+3^x)/(2^(x+1)+3^(x+1))],

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/05 22:42:30

x趋于无穷大 lim[(2^x+3^x)/(2^(x+1)+3^(x+1))]
分子分母同时除以3^(x+1)
极限 = lim [(1/3)*(2/3)^x +(1/3)]/[(2/3)^(x+1)+1]
= (0 + 1/3)/(0 +1)
=1/3

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