Evaluate :
`( x + 2 )( x + 3 ) + ( x - 3 ) ( x -2 ) - 2x ( x + 4 )`

Find the value of x ( x -2 )^3 = ( x-2 )^(x-4 )

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

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

Evaluate lim_(x to 0) [(3x^(2) + 4x + 5)/(x^(2) - 2x + 3)]

Evaluate lim_(x to 3) [4x^(3) + 3x^(2) + 2x + 6]

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate: lim_( x to 2) (x^(2)-4)/(x^(3)-4x^(2)+4x)