" a) "lim_(x rarr(1)/(2))[(1-8y^(3))/(4-4y^(3))]

lim_(y rarr(1)/(2))[(1-8y^(3))/(y-4y^(3))]

lim_(t rarr(1)/(2))(4t^(2)-1)/(8t^(3)-1)

lim_ (x rarr (1) / (2)) ((x ^ (4) -81) / (x-3))

lim_(x rarr4)((x^(3//2)-8)/(x-4)) =

lim_(x rarr2)(x^(3)-8)/(x^(2)-4)

The value of lim_(x rarr1)(y^(3))/(x^(3)-y^(2)-1) as (x,y)rarr(1,0) along the line y=x-1 is

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x