If `lim_(x->oo)f(x)` is finite and non zero and `lim_(x->oo)(f(x)+((3f(x)+1)/f^2(x))=3` then find the value of `lim_(x->oo)f(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 find the value of lim_(x->oo) f(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 lm_(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 lim_(xtooo) f(x) exists and is finite and nonzero and if lim_(xtooo) {f(x)+(3f(x)-1)/(f^(2)(x))}=3 , then the value of lim_(xtooo) f(x)" is " _______.

If (x^2+x−2)/(x+3) 1) f(x) then find the value of lim_(x->1) f(x)

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

If lm_(x rarr oo)f(x) exists and is finite and nonzero and if lim_(x rarr oo){{f(x)+(3f(x)-1)/(f_(2)(x))}=3 then the value of lim_(x rarr oo)f(x) is ]}

lim_(x rarr oo) (1+f(x))^(1/f(x))

Let f(x)=(lim)_(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)_(x->-oo)f(x)

Let f:rarr R rarr(0,oo) be strictly increasing function such that lim_(x rarr oo)(f(7x))/(f(x))=1 .Then, the value of lim_(x rarr oo)[(f(5x))/(f(x))-1] is equal to