Evaluate ` underset(x to oo) lim ([x])/(2x)`

underset(x to oo)lim (2x+7)/(x^(2)+5x+4)=

underset(x to oo)lim (x^2+5x+6)/(x^2-x-6)

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))/(((1)/(x)))

underset(x to oo)lim (cos""2/x)^(x^2)=

underset(x to oo)lim {x-sqrt(x^(2)+x)}=

Find the limits : underset(x to oo)lim ((1+x)/(2+x))^((1-sqrtx)//(1-x)) (b) underset(x to oo)lim ((x^(2)+2x-1)/(2x^(2)-3x-2))^((2x+1)//(x-1))

underset(x to oo)lim {sqrt(x^(2)+ax+b)-x} =

underset(x to oo) lim (sqrt(x^2+2x+1)-x)