" Eid "x,q((-1)/(2))^(-19)-:((-1)/(2))^(8)rarr((-1)/(2))^(-2x+1)

Find x , if ((-1)/2)^(-19)-:((-1)/2)^8=((-1)/2)^(-2x+1)

Find x , if ((-1)/2)^(-19)-:((-1)/2)^8=((-1)/2)^(-2x+1)

lim_(x rarr0)(2^(x-1)+(1)/(2))^((1)/(x))

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

lim_(x rarr a){[(a^((1)/(2))+x^((1)/(2)))/(a^((1)/(4))-x^((1)/(4))))^(-1)-(2(ax)^((1)/(4)))/(x^((3)/(4))-a^((1)/(4))x^((1)/(2))+a^((1)/(2))x^((1)/(4))-a^((3)/(4)))]^(-1)-sqrt(2)^(log_(4)a)}^(8)

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

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 rarr0)((1+x^(2))^((1)/(3))-(1-2x)^((1)/(4)))/(x+x^(2))

lim_(x rarr0)((1+x^(2))^((1)/(3))-(1-2x)^((1)/(4)))/(x+x^(2))

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