1. lim_(x rarr0)(sin^(-1)x-sin x)/(x^(3))

lim_(x rarr0)(x-sin x)/(tan^(2)x)

lim_(x rarr0)(x-sin x)/(tan^(3)x)

lim_(x rarr0)x(cosec x)

lim_(x rarr0)(sin^2x)/(1-cosx)

lim_(x rarr0)(x-sin x)/(tan^(2)x) .

lim_(x rarr0)sqrt(x)=

7. lim_(x rarr0)(x(log x)^(2))/(1+x+x^(2))

Let a= lim _(x rarr 1) (x/(lnx)-1/(xln x)), b = lim _(x rarr 0) ((x^(3)-16x)/(4x+x^(2))), c= lim _(x rarr 1) ((ln(1+sinx))/x) & d = lim _(x rarr -1) ((x+1)^(3))/([sin (x+1) - (x+1)]) Then [[a,b],[c,d]] is

(i) lim_(x rarr0)(x-sin x)/(tan^(3)x)