`underset (x to 1) lim sqrt(1-cos 2(x-1))/(x-1)`

lim_(x to 1) sqrt(1-cos 2(x-1))/(x-1)

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

underset(x to 0)(lim) (1-cos x)/(x) is :

lim_(xrarr1)(sqrt1-cos2(x-1))/(x-1) , is

Find the limits: (a) underset(x to 0)lim (1-cos x)/(x^2) (b) underset(x to 0)lim (tanx-sinx)/(x^(3)) (c ) underset(x to 1)lim ""(cos (pix//2))/(1-x)

The value of underset(x to 2)lim (sqrt(1+sqrt(2+x))-sqrt3)/(x-2) is