Find `lim_(x->oo) (-1)`

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 A=[{:(,1,a),(,0,1):}] then find lim_(n-oo) (1)/(n)A^(n)

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

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

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^2+2x-x) , then which of the following is/are true. a. lim_(x->oo)g(x)=1 b. lim_(x->oo)f(x)=1 c. lim_(x->oo)f(x)=-1 d. lim_(x->oo)g(x)=-1

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).

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

lim_(x->oo)sinx/x =

Evaluate: lim_(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positive