What is the equivalent definition of the function given by
`{:f(x)={(2x",",xge0),(0",",lt0):}`

Discuss the continuity of the function f given by f(x)= {(x",","if " x gt 0),(x^(2)",","if " x lt 0):}

Discuss the continuity of the function : f(x)={{:(x",if "xge0),(x^(2)",if "xlt0):}

Discuss the continuity of the function f(x) ={(x", " x ge 0),(2", "x lt0):} at x=0

Discuss the continuity of the function f(x) ={(x", " x ge 0),(2", "x lt0):} at x=0

Disucss the continuity of the function f given by f (x) = {:{ (-x, if x ge0) , (-x^(2) , if x lt 0):}

find the points of discontinuity of the function f defined by f(x) = {(sinx/x,x<0),(x+1,xge0):}

Consider the following in respect of the function f(x)={{:(2+x","xge0),(2-x","xlt0):} 1. lim_(x to 1) f(x) does not exist. 2. f(x) is differentiable at x=0 3. f(x) is continuous at x=0 Which of the above statements is /aer correct?

Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)", if "xlt0),(x+2", if "xge0):}