Question

(1)( frac{x}{x^{2}-2 x-3} )
( x^{2}-2 x-3 eq 0 )
If ( x^{2}-2 x-3=0 ) then it is discontinous ( x^{2}-3 x+x-3=0 )
( (x+1)(x-3)=0 )
( x=-1043 )
(ii) ( frac{3 x^{2}-4 x}{x^{3}+x^{2}-x-1} )
4 ( x^{3}+x^{2}-x-1=0 ) then it is discontinous
( frac{1}{1} frac{1}{0} cdot frac{1}{2} cdot frac{-1}{1} )
( (x-1)left(x^{2}+2 x+1right)=0 )
( (x-1)(x+1)^{2}=0 )
( x=1,-1 )
(ii) ( operatorname{in} x+cos x )
( sin x+cos x=0 ) then it is discontinous
( cos x=-sin x )
( frac{tan x=-}{x=frac{3 pi}{4}} )

# TUDUL 00 8. Indicate the points of discontinuity of the following functions: 3x2 - 4x (i) - * _ x2 – 2x-3 x3 + x2-x-1 sinx + cosx

Solution