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

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

lim_(x->oo) (sinx/x) =

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

lim_(x->oo)[sinx/x]

lim_(x->oo)sinx/x =

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

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

lim_(x->oo)(e^(11x)-7x)^(1/(3x))

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