Question

$\lim-{0} \frac{1/4x^{3} -1/6x^{2} }{ 1/4x^{2} }$

Answer 1

Lim(X ->0)( 1/4  X^3 -  1/6 X^2 ) / ( 1/4  X^2 ) = Lim(X-->0) X^2 ( 1/4 X  -  1/6) / 1/4 X^2

.............................................................= Lim (X------>0) ( 1/4 X -  1/6 ) / 1/4

............................................................................= ( 0  -  1/6 ) / 1/4

........................................................................... = - 1/6 / 1/4

.......................................................................... =  - 4 / 6

.......................................................................... = -2 / 3