`lim_(x->oo)((x+1)(x+2)(x+3)(x+4)^(1/4)-x)`

lim_(x rarr oo)((x+1)(x+2)(x+3)(x+4)^((1)/(4))-x)

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

Evaluate the following limits: lim_(x rarr oo)[[(x+1)(x+2)(x+3)(x+4)]^((1)/(4))-x]

lim_(x rarr oo)(2-(1)/(x)+(4)/(x^(2)))

lim_(x rarr oo)((x+1)^((4)/(3))-(x-1)^((4)/(3)))

lim_ (x rarr oo) ((x ^ (5) +2) ^ (1/4) - (x ^ (2) +1) ^ (1/3)) / ((x ^ (4) +2) ^ (1/5) - (x ^ (3) +1) ^ (1/2)) =

lim_(x rarr oo)(1+4/(x-1))^(x+3) =

Evaluate the following limits : Lim_(x to oo) ((x+1)(2x+3))/((x+2)(3x+4))

lim_(x rarr oo)((x^(2)-2x+1)/(x^(2)-4x+2))^(x) is equal to

lim_(x rarr oo) ((x-1)(2x-1))/((x-4)(x-7))= _____.