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

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

If f(x)=(1)/(|x|) prove that lim_(x rarr0)f(x) does not

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Let f(x)={x+1,quad if quad x>0,x-1,quad if x<0 Prove that (lim)_(x rarr1)f(x) does not exist.

Let f(x)=x+1 when x gt 0 and x-1 when x leq 0 Prove that lim_(x rarr0) f(x) does not exist

If f(x)=(x^(2))/(1+x^(2)), prove that lim_(x rarr oo)f(x)=1

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.

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.