solve for ,x where `f(x)=|x|ge0`

Evaluate lim_(x rarr 0)f(x) , where f(x)= {(|x|/x,x ne 0),(0,x=0):}

Find lim_(x rarr 0)f(x) , where f(x)={(x/(|x|),x ne 0),(0,x=0):}

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

Find lim_(x rarr 0) f(x) , where f (x) =|x|-5.

Solve : |x+1| ge 3 .

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 = 2, where f(x) = {:{(3x + 5, if, x ge2),(x^2, if , x<2):}

Find all points of discontinuity of f, where f is defined by : f(x)={(|x|/x,,,,if x ne 0),(0,,,,if x=0):}