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

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

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

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

lim_(x->oo)sinx/x =

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

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).

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

lim_(x->oo) (x-sqrt(x^2+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

If alpha in(0,1) and f:R->R and lim_(x->oo)f(x)=0,lim_(x->oo)(f(x)-f(alphax))/x=0, then lim_(x->oo)f(x)/x=lambda where 2lambda+7 is