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If ("lim")(xvecoo)((x^2+x+1)/(x+1)-a x-b...

If `("lim")_(xvecoo)((x^2+x+1)/(x+1)-a x-b)=4,t h e n` `a=1,b=4` (b) `a=1,b=-4` `a=2,b=-3` (d) `a=2,b=3`

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The correct Answer is:
B
Given `underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4`
or `underset(xtooo)lim(x^(2)+x+1-ax^(2)-ax-bx-b)/((x+1))=4`
or `underset(xtooo)lim((1-a)x^(2)+(1-a-b)x-1(1-b))/((x+1))=4`
or `1-0" and "1-a-b=4`
or `b=-4,a=1`
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