极限计算综合 — 数学选择题

求极限 lim(x→0) (1 + 2sin x)^(1/x) = ____

求极限 lim(x→0) (1 + 2tan x)^(1/x) = ____

求极限 lim(x→0) (1+3x)^(1/sin x) = ____

求极限 lim(x→0) [(e^x - 1)/x]^(1/x)，则该极限的值为 ____

求极限 lim(x→0) (2 - cos x)^(1/x²) = ____

求极限 lim(x→0) (cos x)^(1/x²) = ____