`lim_(x->0) ((1+2x)/(1+3x))^(1/x)`

Evaluate: lim_(x->0)(e-(1+x)^(1/x))/x

Use formula lim_(x->0)(a^x-1)/x=log(a) to find lim_(x->0)(2^x-1)/((1+x)^(1/2)-1)

lim_(x->0)(e^(5x) - 1)/(3x)

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.

If lim_(xrarr0) [1+x+(f(x))/(x)]^(1//x)=e^(3)", then "lim_(xrarr0) [1+(f(x))/(x)]^(1//x)=

lim_(x->0) ((1+x)^(1/x)-e)/x is equal to

Evaluate : lim_(xto 0 ) ((x+2)/(x+1))^(x+3)

lim_(x->0)((4^x+9^x)/2)^(1/x)

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

Evaluate lim_(x to 0) ((x+4)/(2-x))^((x^(2)+2x-3)/(x-1))