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L(1-1)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-...

L_(1-1)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1))=

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Evaluate the following limits : Lim_(x to1/2)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1))

lim_(x to 1/2)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1)) .

Lt_(x to oo)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1))=

underset(x to 1//2)lim {(8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1)}=

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

((4x-3) / (2x + 1))-10 ((2x + 1) / (4x-3)) = 3, x! =-1/2, 3/4

Prove that : tan^-1((6x-8x^3)/(1-12x^2))- tan^-1(4x/(1-4x^2)) = tan^-1 2x,|2x| < 1/sqrt3

Prove that tan^(-1)((6x-8x^(3))/(1-12x^(2)))-tan^(-1)((4x)/(1-4x^(2)))=tan^(-1)2x;|2x|<(1)/(sqrt(3))

Prove that tan^(-1)((6x-8x^(3))/(1-12x^(2)))-tan^(-1)((4x)/(1-4x^(2)))= tan^(-1)2x,|2x| lt (1)/(sqrt(3)) .

lim_(x to (1)/(2))lim (4x^(2)+8x-5)/(1-4x^(2))=