lim_(x rarr1)(sqrt(1-cos2(x-1)))/(x-1)" is - "

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 rarr1)(sqrt(x)+3)

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

lim_(x rarr0)((sqrt(1+x)-1)/(x))

lim_(x rarr0)(sqrt(x+1)-1)/(x)

lim_(x rarr0)(sqrt(x+1)-1)/(x)

If f(1)=1,f'(1)=2 then lim_(x rarr1)(sqrt(f(x)-1))/(sqrt(x)-1) is equal to

lim_(x rarr1^(+))((sqrt(2x)(x-1))/(|x-1|))