`lim_(x rarr 0) [(1+3x)/(1-5x)]^(1//x)`

lim_(x rarr0)(1-x)^(1/x)=

lim_(x rarr0)(1/x)^(1-cos x)

lim_(x rarr0)(x)/(1-sqrt(1-x))

lim_(x rarr0)(x)/(1-sqrt(1-x))

lim_(x rarr0)((3+5x)/(3-4x))^((1)/(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

lim_(x rarr0)(1+2x)^(5/x)

lim_(x rarr0)(log(1+x))/(x)=1

3) lim_(x rarr0)[(1)/(x)-cot x]

lim_(x rarr0)((1+x)^(4)-1)/(x)