If `(lim)_(x->0)(sqrt(a x+b)-2)/x=1\ fin d\ a\ a n d\ bdot`

(lim)_(x->0)(sqrt(1+x)-1)/x is equal to a. 1 b . 0 c. 2 d. 1/2

If ("lim")_(x to0)(a e^x-b)/x = 2 , then find the value of a a n d bdot

(lim)_(x->oo)(sqrt(x^2-1))/(2x+1) is equal to a. 0 b . -1 c. 1//2 d. 1

If ("lim")_(x to0)(a e^x-b)/x = 2 , then find the value of a and bdot

Suppose f is a derivable function that satisfies the equation f(x+y)=f(x)+f(y)+x^2y+x y^2 for all real numbers x\ a n d\ y . Suppose that (lim)_(x->0)(f(x))/x=1,\ fin d f(0) b. f^(prime)(0) c. f^(prime)(x) d. f(3)

The value of lim_(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a. 1/2 b. 2 c. sqrt(2) d. none of these

If (lim)_(x->oo)(sqrt((x^4-x^2+1))-a x^2-b)=0 , then there exists at least one a\ a n d\ b for which point (a,-2b) lies on the line.

(lim)_(x->0)(1-cos2x)/x is a. 1 b . 2 c. 4 d. 0

The value of (lim)x->0(sqrt(1-cos"x"^2))/(1-cosx) is a. 1/2 b. 2 c. sqrt(2) d. none of these

(lim)_(x->0)(|sin x|)/x is a. 1 b . -1 c. 0 d. none of these