`lim_(x rarr 1)(sqrt(1-cos2(x-1)))/(x-1)`

lim_(x rarr1)(sqrt(1-cos2(x-1)))/(x-1) a.exists and its equals sqrt(2) b.exists and its equals sqrt(-2) c.does not exist because x-1rarr0 d.L.H.L. not equal R.H.L.

lim_(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

lim_(x rarr0)(sqrt((1-cos2x)/(2)))/(x)

lim_(x rarr0)(sqrt(1-cos2x))/(sqrt(2)x)

lim_(x rarr 0)(sqrt(1-x)-1)/(x)=-(1)/(2)

Statement 1:lim_(x rarr0)(sqrt(1-cos2x))/(x) does not existe.Statement 2:f(x)=(sqrt(1-cos2x))/(x) is not defined at x=0

lim_(x rarr 0) (sqrt(1-cos 2x))/(sqrt(2)x) is :