If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then w...

If `f(x)=(3x^2+a x+a+1)/(x^2+x-2),` then which of the following can be correct `("lim")_(xvec1)f(x)e xi s t s a=-2` `("lim")_(xvec-2)f(x)e xi s t s a=13` `("lim")_(xvec1)f(x)=4/3` `("lim")_(xvec-2)f(x)=-1/3`

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If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct (a) ("lim")_(xvec 1)f(x) for a=-2 (b) ("lim")_(xvec-2)f(x) for a=13 (c) ("lim")_(xvec 1)f(x)=4/3 (d) ("lim")_(xvec-2)f(x)=-1/3

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If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represents the greatest integer function) (lim)_(xvec0^+)f(x)=-1 b. (lim)_(xvec0^-)f(x)=0 c. (lim)_(xvec0^)f(x)=-1 d. (lim)_(xvec0^)f(x)=0

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