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

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

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)(tanx-sinx)/x^(3)

If lim_(xto0) (ae^(x)-b)/(x) =2, 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.

lim_(xto0)(2"arc"sinx)/(3x)

Evaluate lim_(xto0)(tanx-sinx)/(x^(3)).

lim_(xto0)(sin^(3)(x/2))/x^(3)

lim_(xto0)(tan2x)/(sin5x)

If L=lim_(xto0) (sinx+ae^(x)+be^(-x)+clog_(e)(1+x))/(x^(3)) exists finitely, then The value of L is