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`

If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct (a) ("lim")_(xto1)f(x) ex i s t s a=-2 (b) ("lim")_(xto-2)f(x) ex i s t s a=13 (c) ("lim")_(xto1)f(x)=4/3 (d) ("lim")_(xto-2)f(x)=-1/3

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

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

Consider the following graph of the function y=f(x)dot Which of the following is/are correct? fig. 1. ("lim")_(xvec1)f(x) does not exist. 2. ("lim")_(xvec2)f(x) does not exist. 3. ("lim")_(xvec3)f(x)=3 . 4. ("lim")_(xvec1.99)f(x) = exists

Which of the following is and determinate form (lim)_(xvec1)(x^3-1)/(x-1) b. (lim)_(xvec0)(1+x)^(1//x) c. (lim)_(xvec1)(1/(x^2-1)-1/(x-1)) d. (lim)_(xvec0)(|x|)^(s in R)

Which of the following is and determinate form (lim)_(xvec1)(x^3-1)/(x-1) b. (lim)_(xvec0)(1+x)^(1//x) c. (lim)_(xvec1)(1/(x^2-1)-1/(x-1)) d. (lim)_(xvec0)(|x|)^(s in R)

("lim")_(xvec1)(1-x)tan(pix)/2=_____

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) (c) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate: ("lim")_(xvec2)(x-2)/((log)_a(x-1))