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求lim(n趋向于无穷)z^n/(1+z)还有一题lim(x趋向于0)(e^x-1)/x

题目详情
求lim(n趋向于无穷)z^n/(1+z)
还有一题 lim(x趋向于0)(e^x-1)/x
▼优质解答
答案和解析

若 z > 1
lim z^n/(1+z) = ∞
n→∞
若 z = 1
lim z^n/(1+z) = 1/2
n→∞
若 -1 < z < 1
lim z^n/(1+z) = 0
n→∞
若 z < - 1
lim z^n/(1+z) = ±∞
n→∞
lim (e^x - 1)/x = e^0 = 1
x→0