Lim_(x rarr(1)/(sqrt(2)))(cos^(-1)(2x sqrt(1-x^(2))))/(x-(1)/(sqrt(2)))

lim _(x to ((1)/(sqrt2))^(+))(cos ^(-1) (2x sqrt(1- x ^(2))))/((x-(1)/(sqrt2)))- lim _(x to ((1)/(sqrt2))^(-))(cos ^(-1) (2x sqrt(1-x ^(2))))/((x- (1)/(sqrt2)))=

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

lim_(x->1/sqrt2 ^+) cos^- 1(2xsqrt(1-x^2))/((x-1/sqrt2))-lim_(x->1/sqrt2^-) cos^- 1(2xsqrt(1-x^2))/((x-1/sqrt2))

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

lim_(x rarr1)(sqrt(7x+2)-3)/(sqrt(5x-1)-sqrt(6x-2))

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

lim_(x rarr0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)

lim_(x rarr0)(sqrt(1+x^(2))-sqrt(1-x+x^(2)))/(3^(x)-1)=

lim_(x rarr1)(sqrt(x^(2)+8)-sqrt(10-x^(2)))/(sqrt(x^(2)+3)-sqrt(5-x^(2)))=

lim_(x rarr0)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(3^(x)-1)=