lim_(x rarr oo)(3x^(-1)+4x^(-2))/(5x^(-1)+6x^(-2))

lim_(x rarr oo)tan^(-1)(x^(2)-x^(4))

lim_(x rarr oo)(9x^(2)-2x-7)/(6x^(2)+5x+1

Evaluate: lim_ (x rarr oo) ((1 + 5x ^ (2)) / (1 + 3x ^ (2))) ^ (- x ^ (2))

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

Statement 1: lim_ (x rarr oo) ((1 ^ (2)) / (x ^ (3)) + (2 ^ (2)) / (x ^ (3)) + (3 ^ (2)) / (x ^ (3)) + ...... + (x ^ (2)) / (x ^ (3))) = lim_ (x rarr oo) (1 ^ (2)) / (x ^ ( 3)) + lim_ (x rarr oo) (2 ^ (2)) / (x ^ (3)) + ...... + lim_ (x rarr a) (x ^ (2)) / (x ^ (3)) lim_ (x rarr a) (f_ (1) (x) + f_ (2) (x) + ... + f_ (n) (x)) = lim_ (x rarr a) f_ (1) (x) + lim_ (x rarr a) f (x) + ...... + lim_ (x rarr a) f_ (n) (x)

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

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

Evaluate lim_(x rarr oo) (3x^(2)+4x+5)/(4x^(2)+7) .

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

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