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Step-by-step explanation:
Lt {(8x -3)/(2x-1) - (4x^2 +1)/(4x^2 -1)
x -> 1/2
{(8x -3)(2x+1)/(2x+1)(2x-1) -
(4x^2+1) (1)/(2x+1)(2x-1)}
{ (16x^2 + 8x - 6x- 3)/(2x+1)(2x-1)-
(4x^2 +1)/ (2x+1)(2x -1)}
{ (16x^2 + 2x + 3) - (4x^2 +1)}/(2x+1)(2x-1)
{12x^2 + 2x +2} /(2x +1)(2x -1)
12x^2 +6x -4x + 2
6x (2x +1) - 2(2x +1)
(6x - 2)(2x +1)/(2x-1)(2x+1)
(6x - 2)/(2x -1) = 6× 1/2 -2 = 1/0 Undefined
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