`lim_(xrarroo) (1^(2)+2^(2)+3^(2)+....+x^(2))/(4x+3)`

lim_(xrarroo) (2x)/(1+4x)

underset(xrarroo)(1^(2)+2^(2)+3^(2)+...+x^(2))/(X^(3))

Lim_(xrarroo)(x/(x+2))^x

lim_(xrarroo) (x^2-sinx)/(x^2-2)

lim_(xrarroo)((1^(4)+2^(4)+3^(4)+….+x^(4)))/(x^(2)(1^(2)+2^(2)+……+x^(2))) equals

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

Lim_(xrarroo)((x+1)/(x+2))^(x+3)

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

Value of lim_(x rarr oo)((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2)) is