If for some real number `a, Lt_(x->0 ) (sin 2x +asin x) / x^3` exists, then the limits is equal to

Find Lt_(xto0)(sin2x)/(sin3x) .

If x is a real number and |x| lt 3 , then

If x is a real number and |x| lt 3 , then

If underset(x rarr 0)lim (2a sin x - sin 2x)/(tan^(3)x) exists and is equal to 1, then the value of a is -

If lim_(x->0) (x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0 then

Let n be the smallest natural number for which the limit lim_(x rarr0)(sin^(n)x)/(cos^(2)x(1-cos x)^(3)) exists,then tan ^(-1)(tan n) is equal to

Lt_(x rarr0)(x-sin x)/(x^(3))