The limit of (e ^ 2x-e ^ - x) / ln (1 + x) when x tends to 0

The limit of (e ^ 2x-e ^ - x) / ln (1 + x) when x tends to 0

LIM (x tends to 0) (e ^ 2x-e ^ - x) / ln (1 + x)=
LIM (x tends to 0) (e ^ 3x-1) / Xe ^ x = LIM (x tends to 0) 3E ^ 3x / (e ^ x + Xe ^ x) = LIM (x tends to 0) 3E ^ 2x / (1 + x) = 3