`lim_(x->oo)(sqrt(x^2+1)-(x^2+1)^(1/3))/((x^4+1)^(1/4)-(x^4-1)^(1/5)` is equal to

lim_(x rarr oo)(sqrt(x^(2)+1)-(x^(2)+1)^((1)/(3)))/((x^(4)+1)^((1)/(4))-(x^(4)-1)^((1)/(5))) is equal to

lim_(x=oo)(sqrt(x^(2)+1)-3sqrt(x^(2)+1))/(4sqrt(x^(4)+1)-5sqrt(x^(4)-1)) is equal to

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)))

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

lim_(x to oo) (1-(4)/(x-1))^(3x-1) is equal to

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

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

Evaluate: lim_(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

lim_(x rarr-oo)((x^(4)+1)sqrt(x^(6)+x^(3)+1))/(x^(7)+x^(3)+x^(4)+1) is equal to

lim_(xrarr oo) (1-(4)/(x-1))^(3x-1) is equal to