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

lim_(x->oo)sin(1/x)/(1/x)

lim_(x->oo)2^xsin(a/2^x)

lim_(xto oo)(x/(1+x))^(x) is

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

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is

lim_(x rarr oo)((log x)/(x))^(1/x)

If lim_(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and b, are

Which of the following limits does not exist ?(a) lim_(x->oo) cosec^(-1) (x/(x+7) (B) lim_(x->1) sec^(-1) (sin^(-1)x) (C) lim_(x->0^+) x^(1/x) (D) lim_(x->0) (tan(pi/8+x))^(cotx)

Find the value of lim_(x->oo)(2-1/x+4/x^2)

lim_(x rarr oo)(log(1+x))/(x)