If `("lim")_(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0,` then find the value of `aa n dbdot`

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

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

If ("Lim")_(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0 , then find the value of a .

If lim_(xto0) ((4x-1)^(1/3)+a+bx)/(x)=1/3 then find the values of a and b.

If lim_(x rarr0)(1+ax+bx^(2))^((2)/(x))=e^(3), then find the value of a and b.

If lim_(n rarr oo)(1)/((sin^(-1)x)^(n)+1)=1, then find the value of x.

lim_(x to oo)(sqrt(x^2-x+1)-ax)=b Find the value of 2(a+b) is

F(x) is the function such that (lim)_(x->0)(f(x))/x=1\ a n d\ (lim)_(x->0)(x(1+acosx))/((f(x))^3)=1 , then find the value of a

If lim_(x rarr0)[1+x+(f(x))/(x)]^((1)/(x))=e^(3), then find the value of 1n(lim_(x rarr0)[1+(f(x))/(x)]^((1)/(x)))is=-

find a&b if lim_(x rarr oo)((x^(2)+1)/(x+1)-ax-b)=0