If `f(x)={(x^2-1)/(x-1);\ \ \ for\ x!=1\ \ \ 2;\ \ \ \ for\ x=1` . Find whether `f(x)` is continuous at `x=1.`

If f(x)={(x^2-1)/(x-1);\ f or \ x!=1;\ \ \ 2\ f or \ x=1 . Find whether f(x) is continuous at x=1.

f(x)={(x^(2)-1)/(x-1);quad f or x!=12;quad f or x=1. Find whether f(x) is continuous at x=1

If f(x)={e^(1//x),\ \ \ if\ x!=0 1,\ \ \ if\ x=0 . Find whether f is continuous at x=0

If f(X) = (x^2-1)/(x-1 for x ne 1 and f(x) = 2 when x = 1. Show that the function f(X) is continuous at x = 1.

If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous at x=0.

If f(x)={e^((1)/(x)),1quad if x!=0 if x=0 Find whether f is continuous at x=0

f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is continuous at x=0 or not.

Draw the graph of the function f(x)=(x^2-1)/(x-1) and from the graph examine whether f(x) is continuous at x = 1 and x = 2.

If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ \ \ \ \11, if x=1\ \ \ 5a x-2b, if x<1 is continuous at x=1 , find the values of a and b .

f(x) = {(|x+1|/(x+1),when x!= -1),(0, when x = -1):} Test whether f(x) is continuous or not at x= -1