If `underset(xto0)lim(1+ax+bx^(2))^(2//x)=e^(3)`, then find the values of a and b.

If lim_(xto0) (1+ax+bx^(2))^(2//x)=e^(3) , then find the values of a and b.

If lim_(xto0) (ae^(x)-b)/(x) =2, then find the values of a and b.

If lim_(xto0) (1-cosx)/(e^(ax)-bx-1)=2 then find the values of a and b.

If L= lim_(xto0) (sin2x+asinx)/(x^(3)) is finite, then find the value of a and L.

lim_(xto0)(1-cosx)/x^(2)

If m, n in I_(0) and lim_(xto0) (tan2x-nsinx)/(x^(3)) = some integer, then find the value of n and also the value of limit.

lim_(xto0)(1-cos^(2)x)/(xsin2x)

lim_(xto0)(sqrt(1+x^(2))-1)/x

If lim_(xto0)(sinpx)/(tan3x)=4 , then the value of p is

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is