If `f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):}` , then check whether the function f(x) is continuous or discontinuous at x=1

Check whether the function f(X)=|x-3|+|x+2|+|x-7| is continuous at x=3,7 or not?

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.

Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discontinuous at x = 0.

The function f(x)=(x-1)/(x+1), x ne -1 is

Check the continuity of the function f(x)=2x-1, if x =0

If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge 2):} is continuous at x =1 and discontinuous at x =2, then

Check the continuity of the function f(x) given f(x) = 2x+3" at " x=1 .

if the function f(x)=AX-B X =2 is continuous at x=1 and discontinuous at x=2 find the value of A and B

Prove that the function f defined by f(x) = x^3 + x^2 -1 is a continuous function at x= 1.

The function f(x)=a[x+1] +b [x-1] , ( a ne 0 , b ne 0 ) where [x] is the greatest integer function, then the condition for which f(x) is continuous at x=1 is