lim_(x rarr0)((tan x)/(x))^((1)/(x^(3)))=

lim_(x rarr0)((sin x)/(x))^((1)/(x))

lim_(x rarr0)(tan x^(3))/(x)

lim_(x rarr0)(tan x-x)/(x^(3))

lim_(x rarr0)(tan x-x)/(x^(3))

lim_(x rarr0)(tan x)/(sin^(2)x)

Lim_(x rarr0)(x-tan x)/(x^(3))

lim_(x rarr 0)(tan x)/(x) is :

lim_(x rarr0)[(x)/([x])]=

lim_(x rarr0)[sin x]

If lim_(x rarr0)[1+x+(f(x))/(x)]^((1)/(x))=e^(3), then the value of ln(lim_(x rarr0)[1+(f(x))/(x)]^((1)/(x))) is