Check the continuity of the function `f(x) ={1+x^2 , if 0 leq x leq 1 and 1-x , if x lt 1` at `x=1`.

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

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

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

Check the continuity of the function given by f(x)={(xsinfrac1x,xne0),(1,x=0):}

Check the continuity of f(x) = {{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if 1 lt x le 2):} at x = 1

Discuss the continuity of the function f(x)={x , 0lt=x<1//2 12 , x=1//2 1-x , 1//2

Check the continuity of the function f defined by f(x)={{:(x+1,if xle1),(2x,if 1 lt x lt 2x),(1+xA^(2),if x ge 2):} at x=1 and 2

Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx<0 and 2x+1,ifxgeq0