1. lim (1 + 1/x)^x = e
x→∞
2. lim (1 + a/x)^x = e^a
x→∞
3. lim (e^x - 1)/x = 1
x→0
4. lim (a^x - 1)/x = ln a, where a > 0
x→0
5. lim [ln(1 + x)]/x = 1
x→0
6. lim ln x / (x - 1) = 1
x→0
更新1:
6. lim ln x / (x - 1) = 1 x→1
