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

Evaluate the following limit: (lim)_(x->oo)(a^(1//x)-1)x

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

Let f be continuous function on [0,oo) such that lim _(x to oo) (f(x)+ int _(o)^(x) f (t ) (dt)) exists. Find lim _(x to oo) f (x).