1.` lim_(x->o)(1+2x)^(1/(x))=e^2`

lim_(x->oo)(1-x+x.e^(1/n))^n

lim_(x->e) (lnx-1)/(x-e)

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

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

If lim_(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

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____

If lim_(xto0)(f(x))/(sin^(2)x)=8,lim_(xto0)(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(x to 0)(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" lim_(x to 0)(1+f(x))^((1)/(2g(x))) is equal to

lim_(x->0)(1/(x^2)-1/(tan^2x))

If lim_(x->oo)((1+a^3)+8e^(1/ x))/(1+(1-b^3)e^(1/ x))=2, then there exists

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