lim_(x rarr1)(1-sqrt(x))/((cos^(-1)x)^(2))

lim_(x rarr1)(sqrt(x)+3)

lim_(x rarr1^(-))(1-x3)/((cos^(-1)x3)^(2))

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

Let L=lim_(x rarr1)(sin(6cos^(-1)x))/(sqrt(1-x^(2))) and M=lim_(x rarr1)(1-cos(6cos^(-1)x))/(1-x^(2)) .Then value of L+M is

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

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

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

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

lim_(x rarr(1)/(sqrt(2)^(+)))(cos^(-1)(2x sqrt(1-x^(2))))/((x-(1)/(sqrt(2))))-lim_(x rarr(1)/(sqrt(2)^(-)))(cos^(-1)(2x sqrt(1-x^(2))))/((x-(1)/(sqrt(2))))

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