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

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.

Lim f(x) does not exist when

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

Which of the following statements about the function y=f(x) graphed here are true,an which are false? lim_(x rarr2)f(x)=2

lim_(x rarr c)f(x) does not exist when: (A) f(x)=[[x]]-[2x-1],c=3

If f(x)=(|x-1|)/(x-1) prove that lim_(x rarr1)f(x) does not exist.

If f(x)=(|x|)/(x) , then show that lim_(xrarr0) f(x) does not exist.

If f(x)=(|x-a|)/(x-a) , then show that lim_(xrarra) f(x) does not exist.

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)

Evaluate the following: (lim)_(xvec1)[1/(1+x)-3/(1+x^3)]