" 5."lim_(x rarr+oo)(2sqrt(x)+3x^(4/3)+5x^(1/5))/(sqrt(3x-2)+(2x-3)^(1/3))

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

lim_(x rarr+oo)(20+2sqrt(x)+3x^(1/3))/(2+sqrt(4x-3)+(8x-4)^(1/2))=

lim_(x rarr oo)sqrt(3x)-sqrt(x-5)

lim_(x rarr oo)(sqrt(x)-3)/(sqrt(x)+3)

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

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

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

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

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

Evaluate the following limits (if it exists) lim_(x rarr oo)(sqrt(x^(2)+1)-(x^(3)+1)^((1)/(3)))/((x^(4)+1)^((1)/(4))-(x^(5)+1)^((1)/(5)))