`underset(x to 0)lim 2 (sqrtx)=`

underset(x to 0)"Lt" sqrtx=

underset(x to oo)lim sqrtx (sqrt(x+c)-sqrtx)=

underset(x to oo)lim {sin sqrt(x+1)-sin sqrtx)=

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)

underset(xto oo)lim(sqrt(x-sqrtx)-sqrtx)

underset(x to oo)lim [sqrt(x+sqrt(x+sqrt(x)))-sqrtx]=