Discuss the continuity of the function `log_c x,` where `c> 0, x > 0.`

Discuss the continuity of the function f(x)=1/x,xne0

Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < 0),(2+x,xge0):} , at x = 2,0 and -2.

Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{(( |x|/x) , x ne 0),(0,x=0):}

Discuss the continuity of the function f (x)= |x| " at " x=0

Discuss the continuity of the function f given f(x)=|x| at x=0

Discuss the continuity of the function f, where f is defined by f(x)={{:(2x," if "x lt 0),(0," if "0 le x le 1),(4x," if "x gt 1):} .

Discuss the continuity of the function f, where f is defined by f(x)={{:(2x," if "x lt 0),(0," if "0 le x le 1),(4x," if "x ge 1):} .