If `underset(xrarrinfty)Lt{(x^2+1)/(x+1)-(ax+b)}=0` find a and b.

If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

If lim_(xtooo)((x^(2)+1)/(x+1)-ax-b)=0 , find the values of a and b.

Let f: R rarr R be a positive increasing function with underset(xrarrinfty)lim(f(3x))/(f(x))=1, then underset(xrarrinfty)lim(f(2x))/(f(x)) =

Evaluate underset(xrarr0)lim (e^(2x)-1)/(sinx) .

Evaluate underset(xrarr0)lim (e^x-sinx-1)/x